fix(FN-1340): reposition settings icon to right of stop button in header

- Move settings icon placement from its previous position to directly right of the stop button in the Header component
- Update Header component layout to reflect the new icon ordering
- Update Header tests to match the new element ordering

packages/dashboard/app/components/Header.test.tsx

@@ -883,7 +883,7 @@ describe("Header", () => {
   });
 
   describe("action ordering", () => {
-    it("Settings is the last inline user-facing action on desktop (before pause/stop)", () => {
+    it("Settings is the last inline action on desktop (after stop button)", () => {
       const { container } = renderHeader({
         onOpenUsage: noop,
         onOpenActivityLog: noop,
@@ -906,23 +906,13 @@ describe("Header", () => {
       // Settings must exist
       expect(settingsIdx).toBeGreaterThanOrEqual(0);
 
-      // Settings must come before pause/stop (engine controls come after Settings)
-      if (pauseIdx >= 0) {
-        expect(settingsIdx).toBeLessThan(pauseIdx);
-      }
-      if (stopIdx >= 0) {
-        expect(settingsIdx).toBeLessThan(stopIdx);
-      }
+      // Settings must come after pause and stop (engine controls come before Settings)
+      expect(settingsIdx).toBeGreaterThan(pauseIdx);
+      expect(settingsIdx).toBeGreaterThan(stopIdx);
 
-      // Settings must be the last button before pause/stop — no other user-facing btn-icon after it
+      // Settings must be the very last button — no buttons after it
       const buttonsAfterSettings = inlineButtons.slice(settingsIdx + 1);
-      const userFacingAfterSettings = buttonsAfterSettings.filter(
-        (btn) => btn.title !== "Pause scheduling" &&
-                 btn.title !== "Resume scheduling" &&
-                 btn.title !== "Stop AI engine" &&
-                 btn.title !== "Start AI engine"
-      );
-      expect(userFacingAfterSettings).toHaveLength(0);
+      expect(buttonsAfterSettings).toHaveLength(0);
     });
 
     it("Settings is the last item in the mobile overflow menu", () => {

packages/dashboard/app/components/Header.tsx

@@ -542,13 +542,6 @@ export function Header({
           />
         )}
 
-        {/* Settings - always inline on desktop only (overflow on mobile/tablet) */}
-        {!isCompact && (
-          <button className="btn-icon" onClick={onOpenSettings} title="Settings">
-            <Settings size={16} />
-          </button>
-        )}
-
         {/* Pause button (soft pause) - always inline */}
         <button
           className={`btn-icon${enginePaused ? " btn-icon--paused" : ""}`}
@@ -568,6 +561,13 @@ export function Header({
           {globalPaused ? <Play size={16} /> : <Square size={16} />}
         </button>
 
+        {/* Settings - always inline on desktop, placed after engine controls */}
+        {!isCompact && (
+          <button className="btn-icon" onClick={onOpenSettings} title="Settings">
+            <Settings size={16} />
+          </button>
+        )}
+
         {/* Compact overflow menu trigger (mobile + tablet) */}
         {isCompact && !hideFullNav && (
           <button