The best solution for this is to buy a $30 burner phone at Walmart and use it unactivated, tethered to your main de-Googled device. You can use the burner for only tasks requiring Play Integrity.
Make sure to leave one star reviews on all such apps that you run into.
Yes. However, I already carry a tethered hand-me-down quarantine phone where I install my work apps and undesirable apps like Whatsapp (for those loved friends and family that can't or won't install Signal). Carrying a third phone for "Play Integrity" starts being a bit much.