Explore using non-browser API/SSH based Workspaces E2E tests
MR: Pending
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## Description
Explore the ideas raised in [this comment](https://gitlab.com/groups/gitlab-org/-/epics/18056#note_2562208349)
> @ealcantara Excellent points, and you are thinking outside of the box, as usual.
>
> This comment especially made me think of new possibilities:
>
> > Can we test the lifecycle of creating, starting, and running, and terminating a Workspace using API-driven tests?
>
> Given that a Workspace can be completely created via API, and also should be accessible via SSH, theoretically we could write a completely non-UI, non-Capybara-driven E2E test, which performs all manipulations/assertions via SSH.
>
> Theoretically, this could also also include direct manipulation/assertion of VS Code itself, via the VS Code server APIs.
>
> This idea is very appealing to me, because it completely eliminates the slowness/flakiness/maintenance overhead of Capybara-based browser tests, which was part of the pain I was hoping to reduce by moving to Playwright.
>
> Of course we would still have some Capybara-based tests, but those would be minimal and mostly to exercise the happy-path of the GitLab webapp Workspaces UI behaviors, not the actual in-workspace behavior.
## Acceptance criteria
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- [ ] [If applicable, please provide design specifications for this feature/enhancement.]
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## Implementation plan
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