Last week google did something like that to me. It said "device not recognized" and "suspected activity detected" and won't let me in even after I reset my password. That was my reality check. Fortuanately, I was able to login via my old smartphone. I did a google takeout and downloaded all my data. Then I got a domain name and protonmail account and changed email on all of my accounts to my own domain. Now I have some peace of mind that nothing would be lost even if my gmail account is to be gone tomorrow.