OK ... who are you arguing with?

OP stated "Maybe the solution should be to have some basic free state-paid email provider for those people."

I replied that there are a lot of good free email providers already.

Then you change your password to a strong one and turn off 2FA

Gmail allows users to generate 10 one-time use 2FA codes at a time. Even if you are not going to become homeless, you should generate these and write them down somewhere secure. You never know if your phone battery will suddenly die.