feat(meetings,llm): add webinar LLM connect and locus sync latency diagnostics

[Tianhui-Han]

This pull request addresses

https://jira-eng-gpk2.cisco.com/jira/browse/SPARK-774846

by making the following changes

added latency telemetry for webinar LLM connect and Locus sync flows, including timing collection, websocket/dataset context in payloads, callback wiring from parser to meeting.

Change Type

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update
• Tooling change
• Internal code refactor

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< ENUMERATE TESTS PERFORMED, WHETHER MANUAL OR AUTOMATED >

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• This PR is related to
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I certified that

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• I have updated the documentation accordingly

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