fix(browser): show resolved variables in workflow run log input (#15325)

### What problem does this PR solve?

Browser parsed sys.query from prompts but never called set_input_value,
so node_finished inputs displayed null in the agent orchestration run
log.
Additionally, Browser’s tenant-model path could trigger unsupported
structured-output modes (response_format/tool_choice) for some
OpenAI-compatible providers (notably DeepSeek thinking models), causing
step failures.

### Type of change

- [x] Bug Fix (non-breaking change which fixes an issue)

---------

Co-authored-by: Cursor <cursoragent@cursor.com>

agent/component/browser.py

@@ -83,6 +83,15 @@ class BrowserParam(LLMParam):
 class Browser(ComponentBase, ABC):
     component_name = "Browser"
 
+    def _prepare_input_values(self):
+        for key, meta in self.get_input_elements().items():
+            val = meta.get("value")
+            if val is None:
+                val = ""
+            elif not isinstance(val, str):
+                val = json.dumps(val, ensure_ascii=False)
+            self.set_input_value(key, val)
+
     def get_input_elements(self) -> dict[str, dict]:
         text_parts = [
             str(self._param.prompts or ""),
@@ -416,12 +425,17 @@ class Browser(ComponentBase, ABC):
             llm_kwargs = {k: v for k, v in llm_kwargs.items() if v not in (None, "")}
             return ChatBrowserUse(**llm_kwargs)
 
+        # browser-use Agent defaults to json_schema response_format and may use tool_choice via
+        # ChatDeepSeek. Many providers (e.g. DeepSeek thinking models) reject both. Use ChatOpenAI
+        # with schema-in-prompt and without forced structured output on the first run.
         llm_kwargs = {
             "model": model_name,
             "api_key": cfg.get("api_key"),
             "base_url": base_url,
             "temperature": self._param.temperature,
             "max_retries": self._param.max_retries,
+            "add_schema_to_system_prompt": True,
+            "dont_force_structured_output": True,
         }
         llm_kwargs = {k: v for k, v in llm_kwargs.items() if v not in (None, "")}
         return ChatOpenAI(**llm_kwargs)
@@ -666,6 +680,7 @@ class Browser(ComponentBase, ABC):
         profile_dir = None
         persist_session = self._should_persist_session()
         try:
+            self._prepare_input_values()
             user_prompt = self._resolve_text(kwargs.get("prompts", self._param.prompts))
             with tempfile.TemporaryDirectory(prefix="browser_use_upload_") as upload_dir, tempfile.TemporaryDirectory(
                 prefix="browser_use_download_"