[Ephil012]

While I agree it’s not best practice to enter your password on a random device, turning off find my is pretty standard for Apple repairs. I think one of the reasons why is that Find My enables activation lock which will prevent them from fully restoring the iPhone if they need to for any reason. Also, if they decide to replace it with a new unit then you need activation lock disabled so the old one can still be usable. With it still enabled, the old iPhone would essentially be bricked for life otherwise since it’s linked to your account.

As far as the Apple support app, I think that Apple does have a legitimate app under that name. However, usually find my is disabled under the find my app, not the Apple support app (unless Apple stores use a custom version with it in there or it’s hidden in the regular app where I can’t find it). It’s also possible the support app just redirected you to the find my app. Either way, if you don’t trust the app, you could just go to a web browser at home and disable it via the web app for find my so they can proceed with the repair. I don’t know if third party repair shops will also make you disable find my, but I know Apple usually asks you to disable find my first