Study to Evaluate Adverse Events, Change in Disease Activity, and How ABBV-706 Moves Through the Body When Intravenously (IV) Infused Alone or in Combination With IV Infused Budigalimab, Cisplatin, or Carboplatin in Adult Participants With Advanced Solid Tumors

Inclusion Criteria:

• Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1.

• The laboratory values criteria must be met within 7 days prior to the first dose ofstudy drug as per the protocol.

• QT interval corrected for heart rate (QTc) <= 450 msec (males) or <= 470 msec (females) using Fridericia's correction, and an ejection fraction of >= 50% asmeasured by echocardiogram or multigated acquisition (MUGA) scan at Screening.

• Part 1 only: Advanced recurrent or refractory solid tumors with potential SEZ6expression including small cell lung cancer (SCLC), high-grade central nervoussystem (CNS) tumors (glioblastoma [GBM], IDH-wildtype Grade 4; oligodendroglioma,IDH-mutant, and 1p/19q-codeleted Grade 3; astrocytoma, IDH-mutant Grade 3 or Grade 4), neuroendocrine prostate cancer (NEPC), high-grade poorly differentiatedgastroenteropancreatic neuroendocrine carcinoma (GEP-NEC)s, large cellneuroendocrine carcinoma (LCNEC)s, SCLC transformed from epidermal growth factorreceptor (EGFR) mutant non-small cell lung cancer (NSCLC), atypical lung carcinoids,and other high-grade poorly differentiated NECs, who have progressed on or afterstandard of care (SoC) therapy and with no curative therapy available. For SCLC,participants must have histologically or cytologically confirmed SCLC that isrelapsed or refractory following at least 1 prior platinum-containing chemotherapy.

• Part 2 only: Histologically or cytologically confirmed SCLC that is relapsed orrefractory (R/R) following at least 1 prior platinum-containing chemotherapy andwith no curative therapy available. For the purposes of this study, a line oftherapy is defined as >= 1 complete cycle of either a single agent or combination ofdrugs, including any planned sequential therapy of various regimens.

• Part 3a only: Participants with R/R SCLC following at least 1 priorplatinum-containing chemotherapy or R/R poorly differentiated NECs, e.g., NEPC,GEP-NECs, LCNECs, SCLC transformed from EGFR mutant Non-small cell lung cancer (NSCLC), atypical lung carcinoids, other high-grade poorly differentiated NECs.

• Part 3b only: Participants with R/R SCLC who have only progressed following afrontline regimen containing a platinum-based chemotherapy or R/R NECs, e.g., NEPC,GEP-NECs, LCNECs, SCLC transformed from EGFR mutant NSCLC, atypical lung carcinoids,other NECs.

• Part 4a only: Participants with R/R high-grade CNS tumors (GBM, IDH-wildtype Grade 4; oligodendroglioma, IDH-mutant, and 1p/19q-codeleted Grade 3; astrocytoma,IDH-mutant Grade 3 or Grade 4) who have progressed on SoC therapy and with nocurative therapy options available.

• Part 4b only: Participants with R/R neuroendocrine tumors, including NEPC, GEP-NECs,LCNECs, SCLC transformed from EGFR mutant NSCLC, atypical lung carcinoids, and otherhigh-grade poorly differentiated NECs, who have progressed on SoC therapy and withno curative therapy options available.

• Measurable disease per Response Evaluation Criteria in Solid Tumors (RECIST) version 1.1 for participants with extracranial solid tumors or Response Assessment forNeuro-Oncology (RANO)for participants with primary high-grade CNS tumors (GBM,IDH-wildtype Grade 4; oligodendroglioma, IDH-mutant, and 1p/19q-codeleted Grade 3;astrocytoma, IDH-mutant Grade 3 or Grade 4).

• Primary CNS tumors within 12 weeks from radiation therapy should have unequivocalprogression as documented by either tumor recurrence predominantly outside ofradiation field on magnetic resonance imaging (MRI) or confirmed on tumor biopsy.

• Participants with brain metastases from an extracranial solid tumor are eligible ifthe brain metastases as outlined in the protocol.

• Fresh or archival tumor tissue available for submission, for retrospective SEZ6expression analysis as outlined in the protocol.

Exclusion Criteria:

• History of interstitial lung disease (ILD) or pneumonitis that required treatmentwith systemic steroids, nor any evidence of active ILD or pneumonitis.

• History of idiopathic pulmonary fibrosis or organizing pneumonia.

• Prior treatment with an antibody drug conjugate that consists of a Top1 inhibitorpayload.

• Part 2 only: Prior treatment with a SEZ6-targeted antibody drug conjugate.