The home page's front controls and app shelf draw §5's bar and stack, with the front-page test finding the shelf another way #4388

Replaces #4291. Both tries failed on "the front page > ranked, not one owner's…". At test/front.test.ts:447 that test finds the tiles by slicing at class="mt app-shelf", so removing the class broke the test, not the page.

Done:

• [ ] In src/web/studio/home.ts, the controls (line ~474, extra: "front-controls") and the shelf (line ~537) are drawn with §5's bar and stack. Name which ones in the pull. Neither front-controls nor app-shelf appears in the page's HTML.
• [ ] Give the shelf a stable hook that is not a style class, such as aria-label="Apps" on its list. Make test/front.test.ts:447 slice on that hook. What the test asserts (order, forks lift a stranger's app, stopped/failed/unpictured apps are hidden) stays the same.
• [ ] Leave .app-tile* and .home-tabs alone. Do not touch the stylesheet or docs/DESIGN.md; #4297 does that.
• [ ] bun x tsc --noEmit, bun scripts/design-lint.ts and bun test test/front.test.ts pass.

Files: src/web/studio/home.ts, test/front.test.ts.

Parked by the crew: the check failed ("live triage > at most 25 changes per repository per tick") and the decider saw no point in another try (pull #4390 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 ("live triage files unplaced issues > the title wins when title and body name different pillars") and the decider saw no point in another try (pull #4455 closed).

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

1. the check failed ("live triage > at most 25 changes per repository per tick") and the decider saw no point in another try (pull #4390 closed)
2. the check failed ("live triage files unplaced issues > the title wins when title and body name different pillars") and the decider saw no point in another try (pull #4455 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 #4608. Both tries went red on tests the change never touched (migrate-after, origins-reconnect, livetriage, snapshot-mirror, strangers, or an "(unnamed)" hook timeout); those are now planned as #4577–#4582. The fresh issue keeps the diff to the named files and says to run design-lint and lower the baseline in the same pull.