fix: address second round of PR review bot findings

cursor[bot]:
- style: directives with dynamic values now fall back to source-preview
  instead of being scaffolded as boolean condition props that falsified
  the style in the detached preview.
- class: directives carry a className probe, so v2 hydration answers the
  condition from the live DOM instead of always defaulting to false.
- The existing-wrapper remount path now checks the mount result; a failed
  remount keeps the error card instead of advancing to a CYCLING bar over
  a page where nothing rendered.

greptile-apps[bot]:
- The repo-root live pointer records every booted app (most recent
  first) and resolution prefers the app whose helper server is alive, so
  a helper run from the repo root of a two-app monorepo can no longer be
  redirected onto the wrong app's session store by the last boot. Legacy
  single-value pointers still read.

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

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

skill/scripts/live-browser.js

@@ -5453,6 +5453,13 @@
         if (entry.probe && entry.probe.tag) {
           const selector = entry.probe.tag + (entry.probe.classes || []).map((c) => '.' + cssEscapeIdent(c)).join('');
           try { values[entry.prop] = !!liveEl.querySelector(selector); } catch { /* keep default */ }
+        } else if (entry.probe && entry.probe.className) {
+          // class:name directive: the live DOM answers directly, either on
+          // the picked element itself or on a descendant carrying the class.
+          try {
+            values[entry.prop] = liveEl.classList.contains(entry.probe.className)
+              || !!liveEl.querySelector('.' + cssEscapeIdent(entry.probe.className));
+          } catch { /* keep default */ }
         }
       }
     }
@@ -5731,7 +5738,14 @@
         arrivedVariants = availableVariants;
         expectedVariants = Number(manifest.count) || expectedVariants || arrivedVariants;
         visibleVariant = visibleVariant > 0 && visibleVariant <= arrivedVariants ? visibleVariant : 1;
-        await mountSvelteComponentVariant(visibleVariant || 1);
+        const remounted = await mountSvelteComponentVariant(visibleVariant || 1);
+        if (!remounted) {
+          // The mount already reported the failure and raised the card.
+          // Advancing to CYCLING here would show a bar claiming variants are
+          // ready over a page where nothing rendered.
+          saveSession();
+          return;
+        }
         setLiveState('CYCLING');
         showOrUpdateCyclingBar();
         saveSession();