[Awaiting payment 2026-01-23][$250] Prevent unnecessary reauthentication after sign out

[mountiny]

Coming from here

Right now, after a user signs out, some pending network requests still trigger reauthentication. This results in a lot of auth errors in Sentry that will always fail, since the credentials have already been cleared.
By checking credentials earlier and skipping the reauth flow entirely in this case, we can:

• Avoid unnecessary API calls
• Reduce Sentry noise (around ~2 errors per sign-out)
• Slightly speed up the transition to the sign-in screen
• Slightly reduce backend load by avoiding failed API calls

Example Sentry issue:
https://expensify.sentry.io/issues/7122416301/?environment=production&query=authentica[…]3A%5Breauthenticate%2CAuthenticate%5D&referrer=issue-stream

Issue Owner

Current Issue Owner: @JmillsExpensify

[melvin-bot]

Triggered auto assignment to @JmillsExpensify (Bug), see https://stackoverflow.com/c/expensify/questions/14418 for more details. Please add this bug to a GH project, as outlined in the SO.

[hungvu193]

@mountiny Could you assign me here since I reviewed the PR?