@@ -62,7 +62,7 @@ async function studio({ withHistory = true } = {}) {
   const file = () => readFileSync(join(dir, "index.html"), "utf8");
   const save = (content: string) => writeFileSync(join(dir, "index.html"), content);
   const readFile = async (path: string) => readFileSync(join(dir, path), "utf8");
-  return { dir, hook: () => hook, file, save, readFile };
+  return { dir, history, hook: () => hook, file, save, readFile };
 }
 
 it("an edit Studio saved is undone and redone by the project's history, with the preview's before and after", async () => {
@@ -411,6 +411,30 @@ it("a key one page holds does not join another page's edit under the same key",
   expect(file()).toBe("B");
 });
 
+it("a host's write claimed under claimKey joins Studio's save under the same key: one undo takes back both", async () => {
+  const { dir, history, hook, file, save, readFile } = await studio();
+  const key = "drop:1";
+  writeFileSync(join(dir, "clip.mp4"), "media");
+  await history.claim({ kind: "person", name: "You" }, "Dropped on timeline", ["clip.mp4"], {
+    coalesceKey: hook().claimKey(key),
+    idleMs: Infinity,
+  });
+  save("B");
+  await act(() =>
+    hook().recordEdit({
+      label: "Dropped on timeline",
+      coalesceKey: key,
+      coalesceMs: Infinity,
+      files: { "index.html": { before: "A", after: "B" } },
+    }),
+  );
+
+  await act(() => hook().undo({ readFile }));
+
+  expect(file()).toBe("A");
+  expect(existsSync(join(dir, "clip.mp4"))).toBe(false);
+});
+
 it("an undo before the history view shows a drag's held claim still waits on the files it wrote", async () => {
   const { hook, save, readFile } = await studio();
   const server = globalThis.fetch;
 
@@ -209,6 +209,7 @@ export function usePersistentEditHistory({ projectId }: UsePersistentEditHistory
   projectIdRef.current = projectId;
   const [own] = useState(createOwnHistory);
   const [pageKeyScope] = useState(generateId);
+  const claimKey = useCallback((key: string) => `${pageKeyScope}:${key}`, [pageKeyScope]);
 
   const refresh = useCallback(async () => {
     if (!projectId) return;
@@ -246,7 +247,7 @@ export function usePersistentEditHistory({ projectId }: UsePersistentEditHistory
         paths,
         overwrote: await overwroteVersions(files),
         ...(coalesceKey && {
-          coalesceKey: `${pageKeyScope}:${coalesceKey}`,
+          coalesceKey: claimKey(coalesceKey),
           idleMs: coalesceMs ?? DEFAULT_COALESCE_MS,
         }),
       });
@@ -258,7 +259,7 @@ export function usePersistentEditHistory({ projectId }: UsePersistentEditHistory
       heldClaimRef.current = claimed && coalesceKey ? { paths, at: Date.now() } : null;
       await refresh();
     },
-    [projectId, refresh, own, pageKeyScope],
+    [projectId, refresh, own, claimKey],
   );
 
   const step = useCallback(
@@ -341,6 +342,7 @@ export function usePersistentEditHistory({ projectId }: UsePersistentEditHistory
     redoPaths: view.forward?.paths ?? [],
     state,
     recordEdit,
+    claimKey,
     undo,
     redo,
     predict: own.predict,