language_models: Pass up `mode` from the `LanguageModelRequest` (#29552)

This PR makes it so we pass up the `mode` from the
`LanguageModelRequest` when interacting with the Zed provider instead of
passing a hard-coded value.

Release Notes:

- N/A
cd86905ebeMarshall Bowers committed on 4/28/2025, 5:38:55 PM· committed by GitHubparentabb48b7
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