I would say air on the side of caution. I don’t use any google services outside of YouTube so me getting my account banned would cost me nothing. I personally wouldn’t be hurt at all if my account was banned.
If you live in google world and suddenly and irrevocably losing all your google accounts/access/data would be painful you should go with a VPN. Google is a private company where you have no rights to appeal.
Lastly if you do live in google world you should consider getting out. Don’t let mega companies run your life by fear nor allure.
Edit: Don’t use free VPNs. If you are not paying you are the product.