Pipeline Migration: azure-functions-host

[kashimiz]

Part of #8743

• Migrate pipeline
• Update downstream dependencies
• Cleanup repo
  • Remove obsolete YAML
  • Remove webhook
  • Update badges

[fabiocav]

Work is in progress. Moving to sprint 132.

[fabiocav]

Moving to sprint 135.

• Issues will be created to track remaining failing tests
• We'll continue with the pipeline migration and artifact validation
• Any future releases will be blocked on the issues @kashimiz will be creating to investigate the test failures.