fix(admin): user count is out of sync and search results are not cached in account management (#11980)

<!-- This is an auto-generated comment: release notes by coderabbit.ai -->

## Summary by CodeRabbit

- **New Features**
  - Improved user management table with dynamic row count updates and enhanced synchronization of memoized user lists.
- **Bug Fixes**
  - User count and displayed data now update immediately after user creation, deletion, or import, ensuring accurate and consistent information.
- **Chores**
  - Enhanced internal state management for better responsiveness and reliability in the accounts section.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

packages/common/graphql/src/schema.ts

@@ -2811,10 +2811,6 @@ export type GetUserByEmailQuery = {
   } | null;
 };
 
-export type GetUsersCountQueryVariables = Exact<{ [key: string]: never }>;
-
-export type GetUsersCountQuery = { __typename?: 'Query'; usersCount: number };
-
 export type ImportUsersMutationVariables = Exact<{
   input: ImportUsersInput;
 }>;
@@ -2833,6 +2829,7 @@ export type ListUsersQueryVariables = Exact<{
 
 export type ListUsersQuery = {
   __typename?: 'Query';
+  usersCount: number;
   users: Array<{
     __typename?: 'UserType';
     id: string;
@@ -4969,11 +4966,6 @@ export type Queries =
       variables: GetUserByEmailQueryVariables;
       response: GetUserByEmailQuery;
     }
-  | {
-      name: 'getUsersCountQuery';
-      variables: GetUsersCountQueryVariables;
-      response: GetUsersCountQuery;
-    }
   | {
       name: 'listUsersQuery';
       variables: ListUsersQueryVariables;