Need Language Model API available in vscode.dev

We have a VS Code extension that uses the [Language Model API](https://code.visualstudio.com/api/extension-guides/ai/language-model) and works well in VS Code desktop. What is the recommended approach for leveraging AI models from the same extension in vscode.dev? The last time I looked into this, I believe the Language Model API was not supported in vscode.dev. Has anything changed, and if not, what are the best alternatives?

Start with the linked Language Model API extension guide and compare its documented support with vscode.dev. Trace the extension API entry points and web-host constraints mentioned in the documentation. Done means identifying whether the API is supported and documenting a confirmed approach or viable alternatives for extensions running in vscode.dev.

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