Add nil-check for GetRequestMutex across handlers to prevent potential panics

- Updated all handlers to safely unlock the request mutex only if it's non-nil.
- Enhanced mutex locking and unlocking logic to avoid runtime errors.
- Improved robustness of resource cleanup across clients.

Add `GetRequestMutex` method for synchronization across clients

- Introduced a new `GetRequestMutex` method in OpenAICompatibilityClient, CodexClient, GeminiCLIClient, GeminiClient, and QwenClient for request synchronization.
- Ensures only one request is processed at a time to manage quotas effectively.

internal/api/handlers/claude/code_handlers.go

@@ -133,7 +133,9 @@ func (h *ClaudeCodeAPIHandler) handleStreamingResponse(c *gin.Context, rawJSON [
 		// Ensure the client's mutex is unlocked on function exit.
 		// This prevents deadlocks and ensures proper resource cleanup
 		if cliClient != nil {
-			cliClient.GetRequestMutex().Unlock()
+			if mutex := cliClient.GetRequestMutex(); mutex != nil {
+				mutex.Unlock()
+			}
 		}
 	}()
 	retryCount := 0