fix: make todo list update dynamically when task status changes (#999)

areRenderRelevantPartsEqual did not compare the tool part output field,
so when the AI updated a todo list (e.g., marking items completed) the
ToolPart memo comparator returned true and skipped re-render. The UI
stuck showing stale task status.

Fix: add output reference comparison for tool parts in
areRenderRelevantPartsEqual so streaming tool output updates trigger
re-renders correctly.

Co-authored-by: Shyamalan Kannan <yabuku@Shyamalans-MacBook-Pro.local>

packages/ui/src/components/chat/message/renderCompare.ts

@@ -80,6 +80,13 @@ export const areRenderRelevantPartsEqual = (left: Part[], right: Part[]): boolea
       if (leftTool !== rightTool) {
         return false;
       }
+      // Compare tool output so streaming updates (e.g., todo list progress)
+      // trigger re-renders when the output payload changes.
+      const leftOutput = (leftPart as { output?: unknown }).output;
+      const rightOutput = (rightPart as { output?: unknown }).output;
+      if (leftOutput !== rightOutput) {
+        return false;
+      }
       continue;
     }