Aligns provider-test CLI paths with the server's connection-owned management API: `omniroute test` now resolves a connection and calls `POST /api/providers/{id}/test` instead of the missing `/api/v1/providers/test` route; `--all-providers` carries exact connection ids into both non-interactive and TUI runs. Fixes#10570.
Validated in an isolated worktree boarded onto origin/release/v3.8.50 (0 conflicts, 4 files):
- 42/42 focused tests pass (cli-provider-test-routes-10570, cli-providers-command, cli-providers-rotate, cli-route-unavailable-fallback-10081, cli-expanded-commands).
- One pre-existing test in cli-expanded-commands.test.ts (not touched by the PR) mocked the old route and the old `success` response field, exposed only after merging with the current release tip — fixed the mock to match the new per-connection route and the `valid` field the real route actually returns, pushed fix-in-place to the PR branch (owner-authorized rule: fix-in-place over reimplementation, credit preserved).
- check-file-size, check-changelog-integrity: OK.
- typecheck:core: clean.
- check-complexity / check-cognitive-complexity: OK, both under baseline.
Co-authored-by: hydraxman <hydraxman@users.noreply.github.com>
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