Updating startup failure logging.

[RohitRanjanMS]

Enhancing the capability to send startup failure logs to AppInsights/Otel. If an error occurs during startup, the CompositeLogger will record the failure in AppInsights/Otel. Additionally, this feature will log the FAILED TO INITIALIZE RUN FROM PACKAGE.txt to AppInsights/Otel

resolves #11061

Pull request checklist

IMPORTANT: Currently, changes must be backported to the in-proc branch to be included in Core Tools and non-Flex deployments.

• Backporting to the in-proc branch is not required
  • Otherwise: Link to backporting PR
• My changes do not require documentation changes
  • Otherwise: Documentation issue linked to PR
• My changes should not be added to the release notes for the next release
  • Otherwise: I've added my notes to release_notes.md
• My changes do not need to be backported to a previous version
  • Otherwise: Backport tracked by issue/PR #issue_or_pr
• My changes do not require diagnostic events changes
  • Otherwise: I have added/updated all related diagnostic events and their documentation (Documentation issue linked to PR)
• I have added all required tests (Unit tests, E2E tests)

Additional information

Additional PR information

[jviau]

Can we get any tests for this? Or is there existing test coverage?

[RohitRanjanMS]

There's no test coverage for failure. I will have to figure how can I add an InMemoryExporter to assert these logs.