A Clinical Study to Test if an Investigational Treatment Called BNT326 is Safe and Potentially Beneficial When Used Alone or in Combination With Other Investigational Treatments Such as BNT327, for People With Advanced Malignant Tumors

Key Inclusion Criteria (applicable to all participants and all parts unless otherwise specified): * Aged ≥18 years at the time of giving informed consent. Local laws will be followed if the age of consent is older. * Have histologic or cytologic documented advanced disease, either at relapse or upon diagnosis of metastatic disease. This requirement may be considered met when advanced disease derives from unequivocal progression of a previously biopsied site of disease (e.g., progression of residual tumor after concomitant chemo-radiation for Stage III NSCLC). * Have measurable disease defined by RECIST v1.1. * Have ECOG performance status of 0 or 1. * Have adequate organ and bone marrow function (as specified in the protocol) within 7 days before randomization/enrollment. * Cohort 1A: * Have histologically or cytologically confirmed diagnosis of unresectable or metastatic cutaneous melanoma not amenable to local therapy. * Participants must have previously received a PD-1 or PD-L1 inhibitor, and, for participants with human gene that encodes a protein called B-Raf (BRAF) gene mutant melanoma, a prior treatment regimen that included vemurafenib, dabrafenib, or another BRAF gene inhibitor with or without mitogen-activated protein kinase protein inhibitor, if available and clinically indicated per local standard of care (SoC) and have experienced progression during or after the previous treatment or discontinued from prior therapy due to intolerance. * Cohort 1B and 1C: Have advanced (i.e., metastatic or locally recurrent where local therapy with curative intent is not possible) non-squamous or squamous NSCLC. * Cohort 1B: * Have no actionable genomic alterations, such as EGFR mutations, anaplastic lymphoma kinase rearrangements, or other genomic alterations for which targeted molecular therapies are available. For enrolled participants with predominantly squamous histology tumors, molecular testing will not be required in cases where it is not part of the SoC. * Have experienced relapse or progression during or after treatment with standard systemic therapy including platinum-based chemotherapy and/or immune checkpoint inhibitor in the advanced/metastatic setting or discontinued from prior therapy due to intolerance. * Participants must have received 1 to 3 lines of systemic treatment in the metastatic setting, which can include anti-PD-1/PD-L1 therapy (if PD-L1 positive), chemotherapy, and anti-angiogenic agents. These treatments may be administered concurrently or sequentially. Prior chemotherapy must be limited to 2 lines or less. * Cohort 1C: * Have documented positive test results for an EGFR-sensitizing mutation (EGFR-sensitizing mutation Exon 21-L858R and 19del). * Participants must have received one or two prior lines of systemic therapy for advanced and/or metastatic disease, which must include treatment with an approved EGFR Tyrosine Kinase Inhibitors (TKI), with at least one being a third-generation EGFR TKI. If there is no third-generation EGFR TKI approved as part of SoC by local health authorities in a certain country, failure/progression on any EGFR TKI is acceptable for eligibility. * Participants receiving an EGFR TKI at the time of signing informed consent may continue to take the EGFR TKI until 5 days prior to Cycle 1 Day 1. * Prior chemotherapy and amivantamab are permitted only if administered in combination with an EGFR TKI as part of a single line of therapy and as the initial (first-line) treatment for advanced/metastatic disease. Participants must not have received any other systemic therapies (such as chemotherapy, immunotherapy, or targeted agents) for advanced/metastatic disease, unless those treatments were given in combination with an EGFR TKI. * Have experienced progression during or after treatment or discontinued from prior therapy due to intolerance. * Cohort 1D: * Have histologically or cytologically confirmed diagnosis of unresectable or metastatic acral/uveal/mucosal melanoma not amenable to local therapy. * Participants must have: * Previously been treated with a PD-1 or PD-L1 inhibitor, if clinically indicated and available per local SoC, and/or * For participants with Human Leukocyte Antigen Alleles (HLA-A)\*02:01 serotype-positive disease (only applicable for uveal melanoma), previously been treated with tebentafusp-tebn if clinically indicated and available per local SoC, and * Experienced progression during or after the previous treatment or discontinued from prior therapy due to intolerance. * Cohorts 1E and 1F (DDI): * Have histologically or cytologically confirmed diagnosis of unresectable or metastatic advanced solid tumor not amenable to ablative or curative approach including, but not limited to: * Cholangiocarcinoma, including tumors of the intra- and extrahepatic biliary tract and gallbladder * Hepatocellular carcinoma (HCC). * Renal cell carcinoma * Endometrial carcinoma, excluding those classified as true sarcomas * Pancreatic ductal adenocarcinoma (PDAC) (see below other related inclusion criterion) * Neuroendocrine tumor of pancreatic, gastrointestinal, lung, and thymus that is well differentiated, Grade 1 to 3. * NSCLC (Cohort 1F only) * Have experienced disease progression on at least one and no more than three lines of prior therapy or, for Cohort 1E only, discontinued from prior therapy due to intolerance. * (For participants with PDAC only) Have received one or two lines of systemic therapy for metastatic tumors, and have experienced progression or intolerance to the treatment during or following therapy. * Cohort 2A: Have histologically or cytologically confirmed diagnosis of unresectable or metastatic cutaneous melanoma not amenable to local therapy. * Cohort 2B: Have histologically or cytologically confirmed diagnosis of recurrent unresectable or metastatic breast cancer that is documented as HER2-negative and either HR-negative or HR-positive per Ame