fix: reduce excessive POST /api/auto-mode/context-exists requests

Two changes:
1. Server: Skip morgan logging for context-exists endpoint (like health check)
2. UI: Use a stable fingerprint (feature IDs + statuses) instead of the
   unstable features array reference as the useEffect dependency. This
   prevents re-checking context for all features on every React Query
   refetch when the actual feature set hasn't changed.

apps/server/src/index.ts

@@ -261,7 +261,10 @@ morgan.token('status-colored', (_req, res) => {
 app.use(
   morgan(':method :url :status-colored', {
     // Skip when request logging is disabled or for health check endpoints
-    skip: (req) => !requestLoggingEnabled || req.url === '/api/health',
+    skip: (req) =>
+      !requestLoggingEnabled ||
+      req.url === '/api/health' ||
+      req.url === '/api/auto-mode/context-exists',
   })
 );
 // CORS configuration

apps/ui/src/components/views/board-view/hooks/use-board-effects.ts

@@ -1,4 +1,4 @@
-import { useEffect, useRef } from 'react';
+import { useEffect, useMemo, useRef } from 'react';
 import { getElectronAPI } from '@/lib/electron';
 import { createLogger } from '@automaker/utils/logger';
 import type { Feature } from '@/store/app-store';
@@ -68,10 +68,27 @@ export function useBoardEffects({
   // Note: Running tasks sync is now handled by useAutoMode hook in BoardView
   // which correctly handles worktree/branch scoping.
 
+  // Build a stable fingerprint of feature IDs + statuses so context checks
+  // only re-run when the set of features or their statuses actually change,
+  // not on every React Query refetch that produces a new array reference.
+  const featuresFingerprint = useMemo(() => {
+    return features
+      .map((f) => `${f.id}:${f.status}`)
+      .sort()
+      .join(',');
+  }, [features]);
+
+  // Keep a ref to the latest features array for use inside the effect
+  const featuresRef = useRef(features);
+  useEffect(() => {
+    featuresRef.current = features;
+  }, [features]);
+
   // Check which features have context files
   useEffect(() => {
     const checkAllContexts = async () => {
-      const featuresWithPotentialContext = features.filter(
+      const currentFeatures = featuresRef.current;
+      const featuresWithPotentialContext = currentFeatures.filter(
         (f) =>
           f.status === 'backlog' ||
           f.status === 'merge_conflict' ||
@@ -99,10 +116,11 @@ export function useBoardEffects({
       setFeaturesWithContext(newSet);
     };
 
-    if (features.length > 0 && !isLoading) {
+    if (featuresFingerprint && !isLoading) {
       checkAllContexts();
     }
-  }, [features, isLoading, checkContextExists, setFeaturesWithContext]);
+    // eslint-disable-next-line react-hooks/exhaustive-deps
+  }, [featuresFingerprint, isLoading, checkContextExists, setFeaturesWithContext]);
 
   // Re-check context when a feature stops, completes, or errors
   // This ensures hasContext is updated even if the features array doesn't change