Researchers are looking for new ways to treat children with hepatoblastoma or rhabdomyosarcoma (RMS) that has relapsed or is refractory: * Hepatoblastoma is a common liver cancer in babies and very young children * RMS is a cancer that starts in muscle cells, often in a child's head and neck, bladder, arms, or legs * Relapsed means the cancer came back after treatment * Refractory means the cancer did not respond (get smaller or go away) to treatment The study treatment HER3-DXd (also known as MK-1022 or patritumab deruxtecan) is an antibody-drug conjugate (ADC). An ADC attaches to a protein on cancer cells and delivers treatment to destroy those cells. The goals of this study are to learn: * About the safety of HER3-DXd in children and if they tolerate it * What happens to HER3-DXd in children's bodies over time * If children who receive HER3-DXd have the cancer get smaller or go away
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AI-rewrites the medical criteria so a patient or caregiver can understand them. Always confirm with the trial site.
Part 1: Percentage of Participants Who Experience Dose-limiting Toxicities (DLTs)
Timeframe: Cycle 1 (up to approximately 21 days); each cycle is 21 days
Part 1: Percentage of Participants Who Experience an Adverse Event (AE)
Timeframe: Up to approximately 5 years
Part 1: Percentage of Participants Who Discontinue Study Treatment Due to an AE
Timeframe: Up to approximately 5 years
Part 1: Area Under the Curve (AUC) of total anti-HER3 antibody liquid chromatography-mass spectrometry (LC-MS) in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: AUC of anti-HER3 antibody-conjugated DXd (anti-HER3-ac-DXd) in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: AUC of DXd in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: Maximum Concentration (Cmax) of anti-HER3 antibody LC-MS in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: Cmax of anti-HER3-ac-DXd in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: Cmax of DXd in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: Concentration Immediately Before the Next Dose is Administered (Ctrough) of anti-HER3 antibody LC-MS in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: Ctrough of anti-HER3-ac-DXd
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1: Ctrough of DXd in plasma
Timeframe: At designated timepoints (up to approximately 5 years)
Part 1 and Part 2: Objective Response Rate (ORR)
Timeframe: Up to approximately 5 years