[Import] Fix header include

PiperOrigin-RevId: 625513555
diff --git a/src/core/ext/filters/backend_metrics/backend_metric_filter.cc b/src/core/ext/filters/backend_metrics/backend_metric_filter.cc
index e2caef6..c3ce559 100644
--- a/src/core/ext/filters/backend_metrics/backend_metric_filter.cc
+++ b/src/core/ext/filters/backend_metrics/backend_metric_filter.cc
@@ -25,7 +25,6 @@
 #include <utility>
 
 #include "absl/strings/string_view.h"
-#include "third_party/grpc/src/core/lib/channel/promise_based_filter.h"
 #include "upb/base/string_view.h"
 #include "upb/mem/arena.hpp"
 #include "xds/data/orca/v3/orca_load_report.upb.h"
@@ -35,6 +34,7 @@
 
 #include "src/core/lib/channel/channel_stack.h"
 #include "src/core/lib/channel/context.h"
+#include "src/core/lib/channel/promise_based_filter.h"
 #include "src/core/lib/config/core_configuration.h"
 #include "src/core/lib/debug/trace.h"
 #include "src/core/lib/experiments/experiments.h"