Add auto-restart for crashed processing loops, remove sync clock badge

- Auto-restart: ProcessorManager detects fatal task crashes via done
  callback and restarts with exponential backoff (2s-30s, max 5 attempts
  in 5 min window). Manual stop disables auto-restart. Restart state
  exposed in target state API and via WebSocket events.
- Remove "Running"/"Paused" badge label from sync clock dashboard cards
  (pause/play button already conveys state).

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

server/src/wled_controller/static/js/features/dashboard.js

@@ -279,11 +279,6 @@ function _updateSyncClocksInPlace(syncClocks) {
         if (!card) continue;
         const speedEl = card.querySelector('.dashboard-clock-speed');
         if (speedEl) speedEl.textContent = `${c.speed}x`;
-        const badge = card.querySelector('.dashboard-badge-active, .dashboard-badge-stopped');
-        if (badge) {
-            badge.className = c.is_running ? 'dashboard-badge-active' : 'dashboard-badge-stopped';
-            badge.textContent = c.is_running ? t('sync_clock.status.running') : t('sync_clock.status.paused');
-        }
         const btn = card.querySelector('.dashboard-target-actions .dashboard-action-btn');
         if (btn) {
             btn.className = `dashboard-action-btn ${c.is_running ? 'stop' : 'start'}`;
@@ -294,10 +289,6 @@ function _updateSyncClocksInPlace(syncClocks) {
 }
 
 function renderDashboardSyncClock(clock) {
-    const statusBadge = clock.is_running
-        ? `<span class="dashboard-badge-active">${t('sync_clock.status.running')}</span>`
-        : `<span class="dashboard-badge-stopped">${t('sync_clock.status.paused')}</span>`;
-
     const toggleAction = clock.is_running
         ? `dashboardPauseClock('${clock.id}')`
         : `dashboardResumeClock('${clock.id}')`;
@@ -313,7 +304,7 @@ function renderDashboardSyncClock(clock) {
         <div class="dashboard-target-info">
             <span class="dashboard-target-icon">${ICON_CLOCK}</span>
             <div>
-                <div class="dashboard-target-name">${escapeHtml(clock.name)} ${statusBadge}</div>
+                <div class="dashboard-target-name">${escapeHtml(clock.name)}</div>
                 ${subtitle ? `<div class="dashboard-target-subtitle">${subtitle}</div>` : ''}
             </div>
         </div>