bug(settings): Fix extraneous sign in email

[dschom]

Because

• After upgrading a session, a 'signin confirmation' email is being sent out unintentionally.
• It appears the cache is corrupt.

This pull request

• Checks in with the server, instead of relying on the cache.
• Since this email isn't critical, it's simply a notification, the extra overhead isn't really perceptible to a end user.

Issue that this pull request solves

Closes: FXA-12781

Checklist

Put an x in the boxes that apply

• My commit is GPG signed.
• If applicable, I have modified or added tests which pass locally.
• I have added necessary documentation (if appropriate).
• I have verified that my changes render correctly in RTL (if appropriate).

Screenshots (Optional)

Please attach the screenshots of the changes made in case of change in user interface.

Other information (Optional)

Steps to reproduce

• Sign into settings
• Change your password
• Watch your inbox, with this fix in place, you should no longer receive an email with subject: Use $CODE to sign in

[vbudhram]

@dschom Verified locally 👍🏽