Feat: add remember password ability

[Robbie-Cook]

Demo

Video.Project.mp4

Context

Previously, OBS passwords could only be remembered by embedding them in the URL hash. This works, but it means:

• The password can live indefinitely in browser history.
• It ties the login experience to a specific URL.

What this PR does

• Adds a “remember password” option on the login screen

  • Stores the OBS connection details (including password) via a dedicated cookie instead of the URL hash.
  • Allows the password to expire after a defined period instead of living forever in history.
  • Decouples the “remember me” behavior from the URL and provides a more standard, seamless login experience.

• Bonus: Polishes the login page styling

  • Adds some small padding

[Robbie-Cook]

@Niek 🙏