Any controller supported by your preferred gaming console should work with MOUSE: P.I. For Hire.

As for PC, Xbox controllers and Playstation controller input is supported, along with any third-party controllers that are compatible with Xbox and Playstation.

You may also refer to this Steam page regarding controller support:
https://help.steampowered.com/en/faqs/view/7BE7-BB7D-D904-03AE

The Nintendo Switch 2 Pro Controller is currently not supported on PC.