feat: Test static contextualization

[jpoly1219]

Description

Closes CON-2833.

Adds a team-only experimental feature to test drive static contextualization.
Closed #6502 because GitHub Actions were failing in a nontrivial manner (confirmed this with Tomasz)

Checklist

• I've read the contributing guide
• The relevant docs, if any, have been updated or created
• The relevant tests, if any, have been updated or created

Screenshots

[ For visual changes, include screenshots. Screen recordings are particularly helpful, and appreciated! ]

Tests

[ What tests were added or updated to ensure the changes work as expected? ]

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Summary by cubic

Added an experimental team-only feature for static contextualization, which gathers relevant TypeScript types and headers to improve autocomplete suggestions.

• New Features
  • Introduced static context extraction using Tree-sitter queries for TypeScript files.
  • Added config and UI controls to enable or disable static contextualization.
  • Updated autocomplete logic and telemetry to support and log this feature.

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