wip(k1): checkpoint connection recovery rewrite

Capture the current unreleased K1 connection, recovery, lifecycle, viewer, and test work as a single known-bad baseline for subsequent fixes.

tests/test_web_console.py

@@ -13,8 +13,14 @@ def test_ble_scan_exposes_every_device_and_only_labels_likely_k1(
     monkeypatch: MonkeyPatch,
     tmp_path: Path,
 ) -> None:
-    async def fake_scan(duration_seconds: float) -> dict[str, Any]:
+    async def fake_scan(
+        duration_seconds: float,
+        *,
+        on_admitted: object,
+    ) -> dict[str, Any]:
         assert duration_seconds == 6.0
+        assert callable(on_admitted)
+        on_admitted()
         return {
             "devices": [
                 {