You did not mention the car was a 2024!
Hey I am a penny pincher also but this is one area I try to not skimp too much, too many things could go wrong, I would not connect directly to the wires in the car without a interface that isolates the trailer lighting from the car electrical system.
Then try the ZCI from Techonsha, YES they are expensive but it is much cheaper that taking the risk of melting the OEM wiring harness of your car.
Or having the car complain about over voltage or what ever it will be detecting as a fault in the wiring harness.