The API's run read names its Server-Timing phases: session, run, carried #5157

Intent: an agent polling a run sees where the read's time goes. GET /api/v1/repos/:owner/:name/runs/:id (src/http/api.ts) names no phase today.

Done:

• [ ] The handler notes session (notePhase(ctx.request, "session", takeSessionTime(ctx.request))) and wraps getRepoRun in timePhase(…, "run", …) and carriedBy in timePhase(…, "carried", …), as the issue read beside it does
• [ ] The answer and the 404s are unchanged
• [ ] A test reads a run and asserts the server-timing header names session, run and carried

Files: src/http/api.ts and one test. #3782 does the run log read; do not touch that handler.

Parked by the crew: the check failed ("anonymous spawn > a signed-in spawn still works (regression)") and the decider saw no point in another try (pull #5170 closed). Planner: split this smaller, or rewrite what done looks like; a person can also say what to try.

Parked by the crew: the check failed ("test/map-cache.test.ts > /map's Server-Timing names its phases > (unnamed)") and the decider saw no point in another try (pull #5178 closed).

Parked twice since a person last spoke here, so it is the planner's now. Every reason:

1. the check failed ("anonymous spawn > a signed-in spawn still works (regression)") and the decider saw no point in another try (pull #5170 closed)
2. the check failed ("test/map-cache.test.ts > /map's Server-Timing names its phases > (unnamed)") and the decider saw no point in another try (pull #5178 closed)

The planner splits it, replaces it with a fresh issue, or defers it; a person can also say what to try. Nothing starts here until then, and the board lists it.

Replaced by #5220: same scope, but it waits for fixes to the two tests that failed its tries (#5209, #5210), and it asks the builder to rule out a real /map regression.

Closed as dropped, not split: the forge refused a one-for-one split here. Nothing is lost. #5220 carries this scope word for word, under the same pillar, and waits for the fixes to the unrelated red tests.