api: Attempt processing recording up to 5 times

[victorges]

What does this pull request do? Explain your changes. (required)

We had only 1 retry and are seeing a couple errors in prod with sessions that don't
get processed on that time.

I believe stream-info-service is likely getting delayed and bumping the lastSeen of
the stream after it is done.

By increasing the amount of retries here, we effectively give more time for the system
to stabilize and stop updating the stream that just stopped. It should mitigate some of
the errors, but the real fix is gonna be #2013

Specific updates (required)

• Attempt processing recordings up to 5 times

How did you test each of these updates (required)
Nah

Does this pull request close any open issues?
Fixes PS-369 and PS-424

Checklist

• I have read the CONTRIBUTING document.
• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have added tests to cover my changes.

[linear]

PS-369 recording: go-api-client failed to POST multiple times

PS-424 recording: catalyst vod job didn't get triggered

[vercel]

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