Improve "Video upload info not found"

[oscartbeaumont]

Blocked on #1092

TODO:

• Overhaul create_or_get_video call in start_recording to properly show auth UI
• Go through all api.rs and use the new AuthedApiError type

Closes #1114

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✨ Finishing touches

🧪 Generate unit tests

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch fix-1114

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