Fix: After deleting all conversation lists, the chat input box can still be used for input. #4907 (#4909)

### What problem does this PR solve?

Fix: After deleting all conversation lists, the chat input box can still
be used for input. #4907

### Type of change

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

web/src/hooks/llm-hooks.tsx

@@ -13,6 +13,7 @@ import {
 } from '@/interfaces/request/llm';
 import userService from '@/services/user-service';
 import { sortLLmFactoryListBySpecifiedOrder } from '@/utils/common-util';
+import { getLLMIconName } from '@/utils/llm-util';
 import { useMutation, useQuery, useQueryClient } from '@tanstack/react-query';
 import { Flex, message } from 'antd';
 import { DefaultOptionType } from 'antd/es/select';
@@ -54,14 +55,6 @@ export const useSelectLlmOptions = () => {
   return embeddingModelOptions;
 };
 
-const getLLMIconName = (fid: string, llm_name: string) => {
-  if (fid === 'FastEmbed') {
-    return llm_name.split('/').at(0) ?? '';
-  }
-
-  return fid;
-};
-
 export const useSelectLlmOptionsByModelType = () => {
   const llmInfo: IThirdOAIModelCollection = useFetchLlmList();