fix(k1): stabilize live recovery and media admission

apps/control-station/test/rerunViewportAtomicAdmission.test.mjs

@@ -295,6 +295,25 @@ test("raw replay exercises the same streaming receiver lifecycle as a live scan"
   );
 });
 
+test("pending K1 STOP keeps the live Rerun source mounted until local capture ends", async () => {
+  const source = await readFile(
+    new URL("../src/workspaces/Workspaces.tsx", import.meta.url),
+    "utf8",
+  );
+  assert.match(
+    source,
+    /const intentionalSourceEnd = !recordedSource &&\s*state\?\.sourceMode === "idle" && \[/,
+  );
+  assert.match(
+    source,
+    /"awaiting_external_stop",\s*"stopping",\s*"finalizing",\s*"completed",/,
+  );
+  assert.doesNotMatch(
+    source,
+    /const intentionalSourceEnd = !recordedSource && \[\s*"awaiting_external_stop"/,
+  );
+});
+
 test("the spatial header reports raw replay as an active source", async () => {
   const source = await readFile(
     new URL("../src/App.tsx", import.meta.url),