vscode-languageclient v10 breaks restartServer: client never returns to Running

Summary

Upgrading vscode-languageclient from ^9.0.1 to ^10.1.0 makes sharplsp.restartServer fail to bring the client back up. Two lifecycle-e2e tests fail reproducibly on Windows, and the chunk's runtime jumps from ~20s to ~2m (the added time is the assertions timing out).

The upgrade was attempted alongside the VS Code SDK bump (engines.vscode / @types/vscode ^1.99.0 → ^1.125.0). The SDK bump is fine and has shipped; only the vscode-languageclient major was reverted to ^9.0.1, so this is tracked here rather than lost.

Failing tests

Both in editors/vscode/src/test/suite/lifecycle-e2e.test.ts (Windows chunk lifecycle):

• restartServer recovers the live client and keeps it serving symbols — AssertionError: Server must serve symbols again after restart (actual false, expected true)
• restartServer drives the live status bar through Starting and back to Running — AssertionError: Server (and status bar) recovered to Running

Evidence — controlled A/B on the same machine, same commit

Only editors/vscode/{package.json,package-lock.json,src/client.ts,src/output-filter.ts,src/test/suite/fsi-build-output-e2e.test.ts} differed between runs; everything else (Rust host, both sidecars, fixtures) was byte-identical.

Reproduce with make _test-vsix-win CHUNK=lifecycle.

Notes for whoever picks this up

• v10 adds a State.StartFailed enum member, splitting a failed launch out of State.Stopped. wireStatusBar in editors/vscode/src/client.ts must handle it (as ServerState.Error) or switch-exhaustiveness-check fails lint. The StartFailed handling is not itself the cause of the restart failure — the restart path never reaches Running at all — but it is required for the upgrade to compile and lint.
• v10 retypes LanguageClientOptions.outputChannel from OutputChannel to LogOutputChannel. That migration is already done and shipped: createAnsiStrippingChannel returns a LogOutputChannel and strips ANSI from the five level-tagged log methods. LogOutputChannel extends OutputChannel, so it remains assignable on v9 — no work needed here on re-attempt.
• The likely area is client.restart() / stop-then-start sequencing changing in v10, so the status-bar state machine and the "serving symbols again" probe both time out. Worth checking whether restart() now resolves before the server is actually ready.

Start with editors/vscode/src/client.ts, especially client.restart() and wireStatusBar, then run make _test-vsix-win CHUNK=lifecycle. Compare the vscode-languageclient v10 stop-then-start behavior with the two failing cases in editors/vscode/src/test/suite/lifecycle-e2e.test.ts. Done means the lifecycle chunk passes both restart tests and the v10 upgrade compiles and satisfies lint.