Ensure jsDocParsingMode is passed to LanguageService document registry

[jakebailey]

Noticed this inconsistency when looking into an ESLint crash (but this wouldn't fix that).

[jakebailey]

@typescript-bot pack this

[typescript-bot]

Starting jobs; this comment will be updated as builds start and complete.

Command	Status	Results
pack this	✅ Started	✅ Results

[typescript-bot]

Hey @jakebailey, I've packed this into an installable tgz. You can install it for testing by referencing it in your package.json like so:

{
    "devDependencies": {
        "typescript": "https://typescript.visualstudio.com/cf7ac146-d525-443c-b23c-0d58337efebc/_apis/build/builds/161602/artifacts?artifactName=tgz&fileId=5950FA5BFD654C5EBFE2D85B2D3435D7E79A4843895C59CD9DEA980F09FD725602&fileName=/typescript-5.5.0-insiders.20240503.tgz"
    }
}

and then running npm install.

---

There is also a playground for this build and an npm module you can use via "typescript": "npm:@typescript-deploys/pr-build@5.5.0-pr-58404-2".;