[Reasoning + Structured Output] make reasoning compatible with structured output (#12551)

Signed-off-by: Xinyuan Tong <xinyuantong.cs@gmail.com>
Co-authored-by: Xinyuan Tong <xinyuantong.cs@gmail.com>

python/sglang/srt/managers/schedule_batch.py

@@ -472,6 +472,7 @@ class Req:
         token_type_ids: List[int] = None,
         session_id: Optional[str] = None,
         custom_logit_processor: Optional[str] = None,
+        reasoning: bool = False,
         return_hidden_states: bool = False,
         eos_token_ids: Optional[Set[int]] = None,
         bootstrap_host: Optional[str] = None,
@@ -517,6 +518,9 @@ class Req:
         # For multi-http worker
         self.http_worker_ipc = http_worker_ipc
 
+        # For reasoning
+        self.reasoning = reasoning
+
         # Sampling info
         if isinstance(sampling_params.custom_params, dict):
             sampling_params = copy.copy(sampling_params)