[Improvements] Merge health check route (#8444)

Signed-off-by: ybyang <ybyang7@iflytek.com>
Co-authored-by: Lianmin Zheng <lianminzheng@gmail.com>
Co-authored-by: Kan Wu <wukanustc@gmail.com>

python/sglang/srt/managers/scheduler.py

@@ -1781,6 +1781,9 @@ class Scheduler(
         elif batch.forward_mode.is_dummy_first():
             self.set_next_batch_sampling_info_done(batch)
 
+        self.maybe_send_health_check_signal()
+
+    def maybe_send_health_check_signal(self):
         if self.return_health_check_ct:
             # Return some signal for the health check.
             # This is used to prevent the health check signal being blocked by long context prefill.