gpui: Actually remove the Result from AsyncApp (#45809)

Depends on: https://github.com/zed-industries/zed/pull/45768

Refactor plan:
https://gist.github.com/mikayla-maki/6c4bf263fd80050715ba01f45478796e
Overall plan:
https://gist.github.com/mikayla-maki/7bb5078e4385a2e683e1e1eb40d17d38

This is the big one.

Release Notes:

- N/A

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Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>
97c35c084bMikayla Maki committed on 1/7/2026, 8:48:24 PM· committed by GitHubparent4831e5c
64 files changedLine totals unavailable