[Core] [Frontend] Priority scheduling for embeddings and in the OpenAI-API (#8965)

vllm/entrypoints/openai/serving_chat.py

@@ -235,6 +235,7 @@ class OpenAIServingChat(OpenAIServing):
                 lora_request=lora_request,
                 trace_headers=trace_headers,
                 prompt_adapter_request=prompt_adapter_request,
+                priority=request.priority,
             )
         except ValueError as e:
             # TODO: Use a vllm-specific Validation Error