with

No i'm saying you should try the cable, to use with your current power supply.
https://www.amazon.com/LoveRPi-MicroUSB-Switch-Raspberry-Female/dp/B018BFWLRU/ref=sr_1_5?dchild=1&keywords=raspberry+pi+3b%2B+power+button&qid=1626547696&s=electronics&sr=1-5

Cause the powersupply with the build in button is likely to be a under voltage headache.