I found out the advised J1 - DC Power Jack does actually not meet the requirements.
The CSV BOM list tells me to use LCSC part C431534. This is max 30V 2A. While the README tells me I need a power supply of 5V with 4A, this exceeds the power of what the DC Power Jack can hold.
Any advice of what to do? I already placed a pick and placed order on LCSC.