Hello Cellulartech259,
You would want to follow the guidance here after you start the account recovery process: How to use account recovery when you can't reset your Apple ID password
After you start account recovery
After you request account recovery, you get an email with a confirmation of your request and the date and time of when you can expect to regain access.
- If you submitted your account recovery request with iforgot.apple.com through your device's browser, you should avoid using that device during this period. Using that device might cancel account recovery.
- To avoid delays, turn off other devices that are signed in with your Apple ID until account recovery is complete.
When the wait period is over, Apple sends you a text or automated phone call with instructions to regain access to your account. Follow the instructions to immediately regain access to your Apple ID.
In some cases, you might be able to speed up the account recovery process or reset your password immediately by verifying a six-digit code sent to your primary email address. You might also be able to shorten the wait time by providing credit-card details to confirm your identity. If you’re given this option, an authorization request goes to the card issuer.*
As mentioned above, Apple recommends no longer using the device you started account recovery from and encourages you to longer use the associated device(s) during this time period.
We'd suggest waiting for account recovery to complete the process before switching carriers or SIM cards.
We hope this helps out, take care.