Keep a byre-started lead turn that showed a real message

web/dist/task.js

@@ -477,6 +477,9 @@ export function mountChat(root, src, makeHead) {
                 continue;
             }
             ctx.run = undefined;
+            if (ev.kind === "agent.message" && !parent) {
+                ctx.drawn = undefined;
+            }
             if (ev.kind === "turn.ended") {
                 ctx.open = false;
             }

web/src/task.ts

@@ -567,6 +567,9 @@ export function mountChat(root: HTMLElement, src: ChatSource, makeHead: (rerende
         continue;
       }
       ctx.run = undefined;
+      if (ev.kind === "agent.message" && !parent) {
+        ctx.drawn = undefined;
+      }
       if (ev.kind === "turn.ended") {
         ctx.open = false;
       }