fix: ensure login screens are mutually exclusive

[Jiralite]

What this PR solves/adds

Resolves #367 by making sure each login authentication screen is mutually exclusive. Maybe an enum in the future?

Evidence

Untitled.mov

PR type

• Feature
• Fix
• Refactor
• Documentation
• Other

Feature requirements

• GitHub Discussion link: N/A
• Visual proof (screenshot or video): N/A

Validation

• I explained what this PR solves or adds.
• I verified the changes locally.
• I completed all required feature items, or marked them as N/A if not applicable.

Release Notes

• Fixed non-functional register button in forget password screen