Beamion LUNG-1: A Study to Test Different Doses of Zongertinib in People With Different Types of Advanced Cancer (Solid Tumours With Changes in the HER2 Gene)

Inclusion Criteria: * Histologically or cytologically confirmed diagnosis of an advanced, unresectable and/or metastatic non-haematologic malignancy. Patient must show presence of at least one measurable lesion according to Response Evaluation Criteria In Solid Tumors (RECIST) 1.1. * Eastern Cooperative Oncology Group (ECOG) score of 0, 1 or 2 (ECOG=2 only for Cohorts 6, 7 and 9) . * Availability and patient willingness to provide a sample of tumour for confirmation of the patient´s Human epidermal growth factor receptor 2 (HER2) status. This sample can be archival material obtained at any time prior to study enrollment. * Patient willing and able to comply with the protocol requirements for tumour biopsies (biopsies from brain metastases are not allowed). * Adequate organ function defined as all of the following: * Absolute neutrophil count (ANC) ≥ 1.5 x 10\^9/L (≥ 1.5 x 10\^3/μL) (≥ 1500/mm\^3); haemoglobin ≥ 9.0 g/dL (≥ 90 g/L) (≥ 5.6 mmol/L); platelets ≥ 100 x 10\^9/L (100 x 10\^3/μL) (100 x 10\^3/mm3) without the use of hematopoietic growth factors within 4 weeks of start of trial medication. * Total bilirubin ≤ 1.5 times the upper limit of normal (ULN), except for patients with Gilbert's syndrome: total bilirubin ≤ 3 x ULN or direct bilirubin ≤ 1.5 x ULN. * Estimated Glomerular Filtration Rate (eGFR) ≥ 50 mL/min - calculated using Chronic Kidney Disease Epidemiology (CKD-EPI) formula (≥ 30 mL/min/1.73m² for cohorts 6, 8, and 9). * Aspartate transaminase (AST) …