refactor: break non live-share circular dependencies

[talohana]

I'm trying to import this extension and use it in Google, however our TS rules doesn't allow circular dependencies.

Live-share related imports are not needed, hence not resolved.

Output of npx madge --exclude='live-share' --circular --extensions ts ./:

⠋ Finding files=============

WARNING: You are currently running a version of TypeScript which is not officially supported by @typescript-eslint/typescript-estree.

You may find that it works just fine, or you may not.

SUPPORTED TYPESCRIPT VERSIONS: >=3.3.1 <5.2.0

YOUR TYPESCRIPT VERSION: 5.4.5

Please only submit bug reports when using the officially supported version.

=============
Processed 53 files (3.4s) 

✔ No circular dependency found!