Hi @livfe
Looks like you might need the motherboard [https://www.s-manuals.com/notebook/toshiba_satellite_a665|schematics] and check the battery power supply circuit to the board - look for the ''B+'' power rail in the schematic to see where it connects in the board as this is the power from the battery and not the Charger which is VIN .
Check the motherboard model number (printed on the board itself) to see that you download the correct one.