Two factor authentication bypass

If none of the other options in Two-factor authentication for Apple ID - Apple Support

or

Get a verification code and sign in with two-factor authentication - Apple Support

are possible for you, see the following from the second support article above:

If you still can't sign in

If you can’t sign in, reset your password, or receive verification codes, you can request account recovery to regain access to your account. Account recovery might take a few days or longer, depending on the specific account information you can provide to verify your identity.

I'm pretty sure this will help you --> Get a verification code and sign in with two-factor authentication - Apple Support