feat: queue master-agent chat replies

src/app/api/v1/projects/[projectId]/messages/route.ts

@@ -103,15 +103,26 @@ export async function POST(
           accountId?: string;
           requestId?: string;
           taskId?: string;
+          masterReplyState?: "queued" | "running" | "completed";
+          task?: {
+            taskId: string;
+            taskType: "conversation_reply";
+            status: "queued" | "running" | "completed";
+          };
         }
       | undefined;
     let task:
       | {
           taskId: string;
           taskType: "conversation_reply";
-          status: "queued" | "completed";
+          status: "queued" | "running" | "completed";
         }
       | null = null;
+    let masterReplyState:
+      | "queued"
+      | "running"
+      | "completed"
+      | null = null;
 
     if (shouldCreateDispatchPlan) {
       try {
@@ -173,13 +184,13 @@ export async function POST(
         requestedBy: session.displayName,
         requestedByAccount: session.account,
         currentSessionExpiresAt: session.expiresAt,
+        mode: "enqueue",
       });
       if (masterReply?.ok && masterReply.taskId) {
-        task = {
-          taskId: masterReply.taskId,
-          taskType: "conversation_reply",
-          status: masterReply.requestId ? "completed" : "queued",
-        };
+        task = masterReply.task ?? null;
+        masterReplyState = masterReply.masterReplyState ?? null;
+      } else {
+        masterReplyState = null;
       }
     }
 
@@ -192,6 +203,7 @@ export async function POST(
       message,
       masterReply,
       task,
+      masterReplyState,
       dispatchPlan,
       dispatchRecommendation,
       collaborationGate,