Migrate deprecated usages of tsl::WaitForNotificationWithTimeout.

PiperOrigin-RevId: 759562002

Author: allanrenucci

tsl/platform/BUILD

@@ -1144,6 +1144,7 @@ cc_library(
     hdrs = ["notification.h"],
     compatible_with = get_compatible_with_portable(),
     deps = [
+        "@com_google_absl//absl/base:core_headers",
         "@com_google_absl//absl/synchronization",
         "@com_google_absl//absl/time",
     ],

tsl/platform/notification.h

@@ -21,16 +21,21 @@ limitations under the License.
 #include <cstdint>
 #include <mutex>  // NOLINT
 
+#include "absl/base/macros.h"
 #include "absl/synchronization/notification.h"
 #include "absl/time/time.h"
 
+// TODO: b/330223377 - This macro should eventually be provided by Abseil.
+#ifndef ABSL_DEPRECATE_AND_INLINE
+#define ABSL_DEPRECATE_AND_INLINE()
+#endif
+
 namespace tsl {
 
-using absl::Notification;
+using Notification ABSL_DEPRECATE_AND_INLINE() = absl::Notification;
 
-// TODO(ddunleavy): remove this method and replace uses of `tsl::Notification`
-// with `absl::Notification`.
-inline bool WaitForNotificationWithTimeout(Notification* n,
+ABSL_DEPRECATE_AND_INLINE()
+inline bool WaitForNotificationWithTimeout(absl::Notification* n,
                                            int64_t timeout_in_us) {
   return n->WaitForNotificationWithTimeout(absl::Microseconds(timeout_in_us));
 }