Improve UniFi Protect unauth handling

[AngellusMortis]

Proposed change

UniFi Protect 2.1.1 seems to sometimes reply with a 401 or 403 when UniFi Protect is just not accessible (so an invalid not authorized error). This adds some retry logic before triggering a reauth flow in HA to verify the error is not transient.

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New integration (thank you!)
• New feature (which adds functionality to an existing integration)
• Deprecation (breaking change to happen in the future)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Additional information

• This PR fixes or closes issue: fixes Unifi Protect stopped working after updating protect to 2.1.1 #75296
• This PR is related to issue:
• Link to documentation pull request:

Checklist

• The code change is tested and works locally.
• Local tests pass. Your PR cannot be merged unless tests pass
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• Tests have been added to verify that the new code works.

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• Documentation added/updated for www.home-assistant.io

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[probot-home-assistant]

Hey there @briis, @bdraco, mind taking a look at this pull request as it has been labeled with an integration (unifiprotect) you are listed as a code owner for? Thanks!
_{^{(message by CodeOwnersMention)}}

[bdraco]

Tested, no longer getting the spurious auth failures