fix: remove noisy Provider List log message causing log flooding

The print statement for 'Provider List: https://docs.litellm.ai/docs/providers'
was being triggered repeatedly when using non-OpenAI models (like OpenRouter),
causing log flooding. The error message already contains the documentation link,
so this separate print statement is redundant.

Fixes #23879

litellm/litellm_core_utils/get_llm_provider_logic.py

@@ -460,12 +460,6 @@ def get_llm_provider(  # noqa: PLR0915
         elif model.startswith("sap/"):
             custom_llm_provider = "sap"
         if not custom_llm_provider:
-            if litellm.suppress_debug_info is False:
-                print()  # noqa
-                print(  # noqa
-                    "\033[1;31mProvider List: https://docs.litellm.ai/docs/providers\033[0m"  # noqa
-                )  # noqa
-                print()  # noqa
             error_str = f"LLM Provider NOT provided. Pass in the LLM provider you are trying to call. You passed model={model}\n Pass model as E.g. For 'Huggingface' inference endpoints pass in `completion(model='huggingface/starcoder',..)` Learn more: https://docs.litellm.ai/docs/providers"
             # maps to openai.NotFoundError, this is raised when openai does not recognize the llm
             raise litellm.exceptions.BadRequestError(  # type: ignore