feat(lab): stabilize autonomous TGS playback

src/k1link/web/app.py

@@ -133,6 +133,9 @@ from k1link.web.m48s_fixed_class_detector_lab_api import (
     build_m48s_fixed_class_detector_lab_router,
 )
 from k1link.web.m48t_risk_quality_lab_api import build_m48t_risk_quality_lab_router
+from k1link.web.m49_physical_safety_playback_api import (
+    build_m49_physical_safety_playback_router,
+)
 from k1link.web.m49_tgs_fail_closed_api import build_m49_tgs_fail_closed_router
 from k1link.web.m49_tgs_full_shadow_api import build_m49_tgs_full_shadow_router
 from k1link.web.map_api import (
@@ -1016,6 +1019,17 @@ app.include_router(
         ),
     )
 )
+app.include_router(
+    build_m49_physical_safety_playback_router(
+        root_provider=lambda: (
+            REPOSITORY_ROOT
+            / ".runtime"
+            / "compute-experiments"
+            / "m49"
+            / "physical-safety-playback-results"
+        ),
+    )
+)
 app.include_router(
     build_m48s_fixed_class_detector_lab_router(
         root_provider=lambda: (