fix(auth): Invite with public url and social sso. (#10216)

Correct the URL parameter name from "inviteHash" to
"workspaceInviteHash" and enhance domain URL handling for
multi-workspace environments.

packages/twenty-front/src/modules/auth/hooks/__tests__/useAuth.test.tsx

@@ -5,7 +5,6 @@ import { ReactNode, act } from 'react';
 import { MemoryRouter } from 'react-router-dom';
 import { RecoilRoot, useRecoilValue } from 'recoil';
 import { iconsState } from 'twenty-ui';
-
 import { useAuth } from '@/auth/hooks/useAuth';
 import { billingState } from '@/client-config/states/billingState';
 import { isDebugModeState } from '@/client-config/states/isDebugModeState';
@@ -17,6 +16,14 @@ import { isMultiWorkspaceEnabledState } from '@/client-config/states/isMultiWork
 import { renderHook } from '@testing-library/react';
 import { email, mocks, password, results, token } from '../__mocks__/useAuth';
 
+const redirectSpy = jest.fn();
+
+jest.mock('@/domain-manager/hooks/useRedirect', () => ({
+  useRedirect: jest.fn().mockImplementation(() => ({
+    redirect: redirectSpy,
+  })),
+}));
+
 const Wrapper = ({ children }: { children: ReactNode }) => (
   <MockedProvider mocks={mocks} addTypename={false}>
     <RecoilRoot>
@@ -76,6 +83,22 @@ describe('useAuth', () => {
     expect(mocks[1].result).toHaveBeenCalled();
   });
 
+  it('should handle google sign-in', async () => {
+    const { result } = renderHooks();
+
+    await act(async () => {
+      await result.current.signInWithGoogle({
+        workspaceInviteHash: 'workspaceInviteHash',
+      });
+    });
+
+    expect(redirectSpy).toHaveBeenCalledWith(
+      expect.stringContaining(
+        '/auth/google?workspaceInviteHash=workspaceInviteHash',
+      ),
+    );
+  });
+
   it('should handle sign-out', async () => {
     const { result } = renderHook(
       () => {

packages/twenty-front/src/modules/auth/hooks/useAuth.ts

@@ -455,7 +455,7 @@ export const useAuth = () => {
     ) => {
       const url = new URL(`${REACT_APP_SERVER_BASE_URL}${path}`);
       if (isDefined(params.workspaceInviteHash)) {
-        url.searchParams.set('inviteHash', params.workspaceInviteHash);
+        url.searchParams.set('workspaceInviteHash', params.workspaceInviteHash);
       }
       if (isDefined(params.workspacePersonalInviteToken)) {
         url.searchParams.set(