Enhance onboarding flow and improve user authentication handling

[cannarocks]

This pull request introduces several improvements and fixes to the authentication flows, user onboarding, and password management, as well as some UI/UX enhancements for password reset and logout. The main themes are: enhanced password and onboarding logic for invited users, improved logout handling, additional user fields for invitations, and better localization and navigation for password reset flows.

Authentication & Onboarding Enhancements

• Refactored the invited user onboarding flow in SetPasswordForm to use the permanent password for login and then require a password change if needed. This also adds support for the new changePassword method in the authentication context, ensuring a smoother onboarding for invited users. [1] [2] [3]
• Added invitation_token to the User type and API schema, supporting invitation-based onboarding and tracking. [1] [2]

Logout Flow Improvements

• Centralized and improved logout logic by moving the full logout process (including Cognito and legacy WP logout, and cache reset) to the /logout route, simplifying the profile modal's logout action. [1] [2] [3] [4]

Password Management & Auth Context

• Added a changePassword method to the authentication context and implemented its usage, enabling users to change their password after onboarding or as needed. [1] [2] [3] [4]
• Improved detection of sign-up confirmation requirements and exposed this state in the login result, enhancing the handling of users who have not confirmed their email. [1] [2]

Password Reset & Navigation UX

• Enhanced the forgot password flow to support navigation back to either the profile or login page, depending on the origin, and added corresponding localized strings for these actions. [1] [2] [3] [4] [5] [6] [7] [8]

Testing & Miscellaneous

• Set NODE_ENV to test in the Playwright configuration to ensure the correct environment during tests.
• Cleaned up and improved error handling in the syncWordpress utility. [1] [2] [3]

These changes collectively improve the robustness, user experience, and maintainability of the authentication and onboarding flows.