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2FA requires a phone number (for google accounts)

It does not. I had TOTP 2FA only on my last work account and it was company policy not to add phone numbers for security reasons.

https://i.imgur.com/SCxAk0V.png is what I get if I try to add two fac to my account, doesn't seem to be any way around it

This is what I see on my personal GApps account: http://i.imgur.com/YHAOFlZ.png

TOTP 2FA with no recovery options.

Maybe they changed their policies since 2014 :/