fix: fourth review round (mount-failure truth, toggle baking, root ambiguity)

cursor[bot]:
- enqueueEvent dedupes variant_mount_failed per variant, so a second
  broken variant is no longer swallowed while the first is queued.
- Every component (re)injection resets the mount-failure dedupe, so a
  republish that is still broken at the same URL reports again instead
  of silently convincing the agent the repair landed.
- Toggle baking now mirrors preview truth exactly: the runtime sets
  data-p-<id>="on" or removes the attribute, so presence and "on" forms
  survive only while on, and any other valued branch (never matched at
  preview) is dropped in either state.

greptile-apps[bot] (both P1 repros):
- When several apps qualify at the same resolution tier (two live
  servers, or two stopped apps with interrupted sessions), the choice
  stays deterministic but is now loud: a stderr warning names the chosen
  app, the alternatives, and how to target a specific app. Silent
  wrong-app routing was the failure in both repro harnesses.

This work was produced with AI assistance (Claude Code).

Co-Authored-By: Claude Code <noreply@anthropic.com>

skill/scripts/live-server.mjs

@@ -175,7 +175,16 @@ function chatAgentLikelyActive() {
 const MAX_ANNOTATION_BYTES = 10 * 1024 * 1024;
 
 function enqueueEvent(event) {
-  if (!event || (event.id && state.pendingEvents.some((entry) => entry.event?.id === event.id && entry.event?.type === event.type))) return;
+  if (!event) return;
+  // Dedupe by (session, type), except mount failures, which are per-variant:
+  // variant 2 failing must not be swallowed because variant 1's failure is
+  // still queued.
+  const duplicate = event.id && state.pendingEvents.some((entry) => (
+    entry.event?.id === event.id
+    && entry.event?.type === event.type
+    && (event.type !== 'variant_mount_failed' || entry.event?.variant === event.variant)
+  ));
+  if (duplicate) return;
   state.pendingEvents.push({ event, leaseUntil: 0, seq: state.nextEventSeq++ });
   flushPendingPolls();
 }