See the stipulation of:
on an off day, with no reason to require phone use
If you "need a phone for 2fa" then that qualifies as a "reason to require phone use."1. Get a hardware token
2. Install a TOTP desktop client
3. Only use the phone for 2FA
4. You understand the spirit of the exercise and don't get bogged down by silly rules.
Just out of curiosity, suppose you are not on-call for work and it is an observed holiday. Do you foresee the need for two factor authentication for non-work activities?
In other words, is 2fa a requirement for daily life?
I never stay logged into accounts in browsers on my personal devices. And work requires daily auto. So in general if I need to do anything with any accounts, I need 2fa access. And for the phone apps I do stay logged in to, well, they are on my phone.
Focus on the intent of the exercise. If you really mentally cannot get past 2FA, then get a hardware token, or a TOTP client on your desktop. Lots of solutions if this is really the hangup.