For anyone who got hopeful this is not a bypass for Play Integrity Check. OP is just installing apps from a different app store ment for phones which are restricted from using American tech. Due to this limitation all the app developers know if anyone is installing apps from those stores they maynot have Google Play Services example Huawei. So those app developers themselves are bypassing checking for Play Integrity Check.
If it was the case just of using different app store Aurora would've also worked. But it doesn't because Aurora provides exact same APK as the google play store unlike the other app stores OP mentioned