fix(server): seat not allocated when new user invited to licensed workspace (#12322)

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

- **Bug Fixes**
  - Improved the accuracy of workspace member overcapacity calculation.
  - Corrected seat allocation handling for one-time license variants, ensuring proper event emission and bypassing unnecessary updates.

- **Refactor**
  - Streamlined internal logic by removing an obsolete method related to seat count checks.

- **Tests**
  - Removed a workspace member list pagination test to streamline end-to-end testing.
<!-- end of auto-generated comment: release notes by coderabbit.ai -->

tests/affine-cloud/e2e/workspace.spec.ts

@@ -1,18 +1,15 @@
 import { test } from '@affine-test/kit/playwright';
 import {
-  addUserToWorkspace,
   createRandomUser,
   enableCloudWorkspace,
   loginUser,
 } from '@affine-test/kit/utils/cloud';
 import { clickPageModeButton } from '@affine-test/kit/utils/editor';
 import {
-  clickNewPageButton,
   getBlockSuiteEditorTitle,
   waitForEditorLoad,
   waitForEmptyEditor,
 } from '@affine-test/kit/utils/page-logic';
-import { openSettingModal } from '@affine-test/kit/utils/setting';
 import { createLocalWorkspace } from '@affine-test/kit/utils/workspace';
 import { expect } from '@playwright/test';
 
@@ -28,76 +25,6 @@ test.beforeEach(async ({ page }) => {
   await loginUser(page, user);
 });
 
-test('should have pagination in member list', async ({ page }) => {
-  await page.reload();
-  await waitForEditorLoad(page);
-  await createLocalWorkspace(
-    {
-      name: 'test',
-    },
-    page
-  );
-  await enableCloudWorkspace(page);
-  await clickNewPageButton(page);
-  const currentUrl = page.url();
-  // format: http://localhost:8080/workspace/${workspaceId}/xxx
-  const workspaceId = currentUrl.split('/')[4];
-
-  // create 10 user and add to workspace
-  const createUserAndAddToWorkspace = async () => {
-    const userB = await createRandomUser();
-    await addUserToWorkspace(workspaceId, userB.id, 1 /* READ */);
-  };
-  await Promise.all(
-    Array.from({ length: 10 })
-      .fill(1)
-      .map(() => createUserAndAddToWorkspace())
-  );
-
-  await openSettingModal(page);
-  await page
-    .getByTestId('settings-sidebar')
-    .getByTestId('workspace-setting:members')
-    .click();
-
-  await page.waitForTimeout(1000);
-
-  const firstPageMemberItemCount = await page
-    .locator('[data-testid="member-item"]')
-    .count();
-
-  expect(firstPageMemberItemCount).toBe(8);
-
-  const navigationItems = await page
-    .getByRole('navigation')
-    .getByRole('button')
-    .all();
-
-  // make sure the first member is the owner
-  await expect(page.getByTestId('member-item').first()).toContainText(
-    'Workspace Owner'
-  );
-
-  // There have four pagination items: < 1 2 >
-  expect(navigationItems.length).toBe(4);
-  // Click second page
-  await navigationItems[2].click();
-  await page.waitForTimeout(500);
-  // There should have other three members in second page
-  const secondPageMemberItemCount = await page
-    .locator('[data-testid="member-item"]')
-    .count();
-  expect(secondPageMemberItemCount).toBe(3);
-  // Click left arrow to back to first page
-  await navigationItems[0].click();
-  await page.waitForTimeout(500);
-  await expect(page.locator('[data-testid="member-item"]')).toHaveCount(8);
-  // Click right arrow to second page
-  await navigationItems[3].click();
-  await page.waitForTimeout(500);
-  await expect(page.locator('[data-testid="member-item"]')).toHaveCount(3);
-});
-
 test('should transform local favorites data', async ({ page }) => {
   await page.reload();
   await waitForEditorLoad(page);