First in Human, Dose Escalation Study of AN4005

Inclusion Criteria: * 1\. Age ≥ 18 years at the time of informed consent and have provided signed informed consent for the trial. 2\. Willing and able to comply with all aspects of the protocol. 3\. Eastern Cooperative Oncology Group (ECOG) Performance Status of 0 or 1. 4\. Life expectancy ≥ 3 months. 5\. Subjects with histologically or cytologically confirmed advanced solid tumors that are metastatic or unresectable, or relapsed or refractory (r/r) lymphoma, and for whom standard life-prolonging measures are not available. Types of lymphoma may include, but are not limited to, natural killer (NK)/T-cell lymphoma, classic Hodgkin lymphoma (cHL), peripheral T-cell lymphoma (PTCL), and diffuse large B-cell lymphoma (DLBCL). 6\. No standard therapy available or standard therapy is considered unsuitable or intolerable according to the Investigator. 7\. Patients with or without measurable disease are considered eligible. Patients who have measurable disease as assessed by the local site investigator and/or radiologist. Lesions situated in a previously irradiated area are considered measurable if progression has been demonstrated in such lesions. 8\. Have provided archival tumor tissue sample or newly obtained core or excisional biopsy of a tumor lesion not previously irradiated. If previously treated with anti-PD-1/PD-L1 therapy, tumor tissue sample obtained following the most recent anti-PD-1/PD-L1 therapy is required. Formalin-fixed, paraffin embedded (FFPE) tissue blocks are preferred to slides. Newly obtained biopsies are preferred to archived tissue. For patients with specific types of lymphomas, bone marrow biopsy will be required as appropriate. 9\. Left ventricular ejection fraction (LVEF) greater than 50% on echocardiography or multiple gated acquisition (MUGA) scan. 10\. Patient has organ function as shown by the following: 1. Absolute neutrophil count (ANC) ≥1.5 x 109/L. 2. Hemoglobin ≥8 g/dL (which may be reached by transfusion). 3. Platelets ≥100 x 109/L (which may be reached by transfusion). 4. International normalized ratio (INR) ≤1.5. 5. Alanine aminotransferase (ALT) and aspartate aminotransferase (AST) ≤3.0 x upper limit of normal (ULN) or \<5.0 x ULN if liver metastases are present. 6. Total serum bilirubin ≤ ULN or ≤1.5 x ULN if liver metastases are present; or total bilirubin ≤3.0 x ULN with direct bilirubin below or within normal range in patients with well documented Gilbert's Syndrome. Gilbert's syndrome is defined as presence of episodes of unconjugated hyperbilirubinemia with normal results from cells blood count (including normal reticulocyte count and blood smear), normal liver function test results, and absence of other contributing disease processes at the time of diagnosis. 7. Creatinine clearance (CrCL) \>60 mL/min calculated by the Cockcroft-Gault Equation. 11\. A female participant is eligible to participate if she is not pregnant, not breastfeeding, and at least one of the following conditions applies: <!-- --> 1. Not a woman of childbearing potential Women are considered post-menopausal and not of child-bearing potential if they have had 12 months of natural (spontaneous) amenorrhea with an appropriate clinical profile (e.g., age appropriate, history of vasomotor symptoms) or have had surgical bilateral oophorectomy (with or without hysterectomy) at least six weeks prior to Screening. In the case of oophorectomy alone, only when the reproductive status of the woman has been confirmed by follow-up hormone level assessment, is she considered not of child-bearing potential. 2. Woman of childbearing potential who agrees to follow contraceptive guidance during the treatment period and for at least 90 days after the last dose of study treatment. Highly effective contraception is defined as either: * Total abstinence: When this is in line with the preferred and usual lifestyle of the patient. (Periodic abstinence \[e.g., calendar, ovulation, symptothermal, post-ovulation methods\] and withdrawal are not acceptable methods of contraception.) * Female sterilization: When the female study patient has had surgical bilateral oophorectomy (with or without hysterectomy) or tubal ligation at least six weeks before taking study treatment. In case of oophorectomy alone, only when the reproductive status of the woman has been confirmed by follow-up hormone level assessment. * Male partner sterilization (with the appropriate post-vasectomy documentation of the absence of sperm in the ejaculate). For female study patients, the vasectomized male partner should be the sole partner for that patient. * Using a combination of any two of the following: * Placement of an intrauterine device (IUD) or intrauterine system (IUS), and * Barrier methods of contraception: condom or occlusive cap (diaphragm or cervical/vault caps) with spermicidal foam/gel/film/cream/vaginal suppository. * Hormonal contraception methods (e.g., oral, injected, implanted). 12\. A male participant must agree to use contraception during the treatment period and for at least 90 days after the last dose of the study treatment. Exclusion Criteria: 1. Have been discontinued treatment due to a Grade 3 or higher immune-related AE (irAE) from prior anti-PD-1or anti-PD-L1 therapy, or with an agent directed to another stimulatory or co-inhibitory T-cell receptor (e.g., CTLA-4, OX 40, CD137). 2. Have received prior systemic anti-cancer therapy including investigational oncology agents within 4 weeks or 5 half-lives, whichever is shorter. Note: Participants must have recovered from all AEs due to previous therapies to ≤ Grade 1 or returned to baseline. Participants with ≤ Grade 2 neuropathy or alopecia may be eligible. 3. At least 6 weeks must have elapsed since CAR-T infusion and subjects must have experienced disease progression, and not have residual circulating CAR-T cells in peripheral blood (based on local assessment). Any encountered treatment-related toxicities must have resolved to Grade ≤1. 4. Have received prior palliative radiotherapy within 2 weeks of start of study treatment. Participants must have recovered from all radiation-related toxicities, not require corticosteroids, and not have had radiation pneumonitis. A 1-week washout is permitted for palliative radiation (≤ 2 weeks of radiotherapy) to non-central nervous system (CNS) disease. 5. Uncontrolled tumor-related pain. 6. Have received a live vaccine within 30 days prior to the first dose of study drug. Examples of live vaccines include, but are not limited to, the following: measles, mumps, rubella, varicella/zoster (chicken pox), yellow fever, rabies, Bacillus Calmette-Guérin (BCG), and typhoid vaccine. Seasonal influenza vaccines for injection are generally killed virus vaccines and are allowed; however, intranasal influenza vaccines (e.g., FluMist®) are live attenuated vaccines and are not allowed. Non live COVID vaccinations or boosters should not occur within 30 days prior to the first dose of study drug and during Cycle 1. 7. Are currently participating in a study of an investigational agent or investigational device within 4 weeks or less than 5 half-lives, prior to the first dose of study treatment. Note: Participants who have entered the follow-up phase of an investigational study may participate as long as it has been at least 4 weeks after the last dose of the previous investigational agent (see Number 2 above). 8. Have had an allogenic tissue (e.g., bone marrow or stem cells)/solid organ transplant within the past 5 years. 9. Have a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy (in dosing exceeding 10 mg daily of prednisone equivalent) or any other form of immunosuppressive therapy within 7 days prior the first dose of study drug. 10. With a history of another primary malignancy within the past 2 years, with the following exceptions: basal or squamous cell skin cancer, or carcinoma in situ of the cervix or breast that has undergone potentially curative therapy; or patients with a prior history of or clinically stable concurrent malignancy provided the malignancy is clinically insignificant, no treatment is required, and the patient is clinically stable. 11. Have known severe hypersensitivity to study treatment components. 12. Have an active autoimmune disease that has required systemic treatment in the past 2 years (i.e., with use of disease modifying agents, corticosteroids or immunosuppressive drugs). Replacement therapy (e.g., thyroxine, insulin, or physiologic corticosteroid replacement therapy for adrenal or pituitary insufficiency) is not considered a form of systemic treatment and is allowed. 13. Have a history of (non-infectious) pneumonitis that has required steroids or have current pneumonitis. 14. Have an active infection requiring systemic therapy within 2 weeks prior to the first dose of the study drug. 15. Significant cardiovascular (CV) impairment: history of congestive heart failure greater than New York Heart Association (NYHA) Class II, uncontrolled arterial hypertension, unstable angina, myocardial infarction, or stroke within 6 months of the first dose of the study drug; or cardiac arrhythmia requiring medical treatment (including oral anticoagulation). Patients who meet the following criteria should be excluded: a) A marked baseline prolongation of QT/QTc interval (e.g., repeated demonstration of a QTc interval \>470 milliseconds (ms) using Fredericia's QT correction formula). b) A history of additional risk factors for TdP (e.g., heart failure, hypokalemia, family history of Long QT Syndrome). c) The use of concomitant medications that prolong the QT/QTc interval. 16. Major surgery within 4 weeks before the first dose of the study drug. Note: If participant received major surgery, they must have recovered adequately from surgery and the toxicity and/or complications requiring the intervention prior to starting study treatment. 17. Inability to take oral medication, or malabsorption syndrome or any other uncontrolled gastrointestinal condition (e.g., nausea, diarrhea, or vomiting) that might impair the oral bioavailability of the investigational drugs. 18. Have a history or current evidence of any condition, therapy, or laboratory abnormality that might confound the results of the study, interfere with the participant's participation for the full duration of the study, or is not in the best interest of the participant to participate, in the opinion of the treating investigator. 19. Have a known psychiatric or substance abuse disorder that would interfere with the participant's ability to cooperate with the requirements of the study, e.g. history of or active major depressive episode, bipolar disorder, obsessive-compulsive disorder, schizophrenia, or history of suicidal attempt or ideation, homicidal ideation (e.g., risk of doing harm to self or others), or patients with active severe personality disorders (defined according to Diagnostic and Statistical Manual of Mental Disorders \[DSM V\]) are not eligible. Note: For patients with psychotropic treatments ongoing at baseline, the dose and the schedule should not be modified within the previous six weeks prior to start of study drug. 20. Is pregnant or breastfeeding or expecting to conceive or father children within the projected duration of the study, starting with the screening visit through 90 days after the last dose of study treatment. 21. Uncontrolled pleural effusion, pericardial effusion, or ascites requiring recurrent drainage procedures \>/=1 time per month. 22. Leptomeningeal disease. 23. Spinal cord compression not definitively treated with surgery and/or radiation, or previously diagnosed and treated but without evidence that disease has been clinically stable for \>/=2 weeks prior to the first dose of the study drug. 24. Oral or IV antibiotics within 2 weeks prior to the first dose of the study drug (except for prophylactic dose). 25. Active tuberculosis. 26. Patient is currently being treated with drugs known to be strong cytochromes P450 (CYP)3A4, inhibitors or inducers; UGT inducers or inhibitors; inhibitors of P-gP; sensitive substrates for CPY3A4, CYP2C9, CPY2C19 or P-gP (Appendix 4: List of Concomitant Drugs to Avoid Two Weeks Prior to and During Patient Enrollment) and the treatment cannot be discontinued or switched to a different medication prior to starting study drug. 27. Patient has a history of non-compliance to any medical regimen or inability to grant consent.