hello @Camerado! Thanks for your work!
There is also unofficial SHRP for PocoF3. You can find it at this link:
https://androidfilehost.com/?w=files&flid=331333
if you want to add it to your collection .
Same problem on poco F3 with the stable 12.5.6. I tried to set the Google play service app to "autostart", but it doesn't fix. Although Google apps appear to be working fine.