What kind of mouse has best performance to use with a Mac?
I think you have arrived at the wrong conclusion. A USB-C to USB-A adapter cannot introduce lag on your mouse. It’s only a mechanical adapter from one type of plug to another - there’s nothing changed in the actual electric signal.

I would look at:

1) ensuring your have the correct driver

2) ensure that there are no sources of noise near the wireless adapter (try disabling WiFi, Bluetooth etc on the Mac to see if it is disturbed by those)

3) that the actual wireless antenna for the mouse is placed near the mouse