useAuth's user data persists after logout

[GeorgeHulpoi]

Describe the Bug

The user still persists after logout. Only two times the user will be null (in dev) after logout. The final output will be the old user data.

Link to the code that reproduces this issue

https://github.com/GeorgeHulpoi/payload-use-auth-bug

Reproduction Steps

1. Create the user and login
2. Logout
3. The user from useAuth is the data before logout (check console).

Which area(s) are affected? (Select all that apply)

area: ui

Environment Info

Binaries:
  Node: 20.9.0
  npm: N/A
  Yarn: N/A
  pnpm: N/A
Relevant Packages:
  payload: 3.17.1
  next: 15.1.5
  @payloadcms/db-mongodb: 3.17.1
  @payloadcms/email-nodemailer: 3.17.1
  @payloadcms/graphql: 3.17.1
  @payloadcms/next/utilities: 3.17.1
  @payloadcms/payload-cloud: 3.17.1
  @payloadcms/richtext-lexical: 3.17.1
  @payloadcms/translations: 3.17.1
  @payloadcms/ui/shared: 3.17.1
  react: 19.0.0
  react-dom: 19.0.0
Operating System:
  Platform: win32
  Arch: x64
  Version: Windows 10 Pro
  Available memory (MB): 14189
  Available CPU cores: 16