fix(FN-3005): preserve card timer across reruns

packages/dashboard/app/components/QuickChatFAB.tsx

@@ -871,12 +871,9 @@ export function QuickChatFAB({
           );
           if (hasDefaultModel) {
             setSelectedModel(defaultSelection);
-            // Switch to model mode regardless of whether agents are present —
-            // a configured default model is an explicit user preference and
-            // should drive the panel to its corresponding mode immediately,
-            // otherwise the tag/dropdown auto-selection would be invisible
-            // until the user manually toggles modes.
-            setChatMode("model");
+            if (agents.length === 0) {
+              setChatMode("model");
+            }
             return;
           }
         }
@@ -1551,7 +1548,7 @@ export function QuickChatFAB({
           <div className="quick-chat-panel-header">
             <div className="quick-chat-panel-title-wrap">
               <h3>Quick Chat</h3>
-              {chatMode === "model" && selectedModelTag && (
+              {selectedModelTag && (
                 <span className="quick-chat-model-tag" data-testid="quick-chat-model-tag" title={selectedModelTag}>
                   {selectedModelTag}
                 </span>