414/ Log in and sign up page v2

[YuraPetrovskyi]

Checklist:

• My code follows the style guidelines of this project
• I have performed a self-review on my code
• My changes generate no new warnings or errors
• New and previously existing unit tests pass locally with my changes
• Any dependent changes have been merged and published in downstream modules

Description

** Closes #414**
This PR introduces redesigned Login and Sign Up pages using the newly created Input component and applies various UI improvements for consistency with the Figma v2 design.

It also adds layout refinements such as:

• Footer sticking to the bottom of the screen
• Removal of the back button in auth layout
• Background in Storybook stories for better context

Files changed

• app/(auth)/login/page.tsx: Switched to the new Input component and added validations
• app/(auth)/signup/page.tsx: Switched to the new Input component, added refugee toggle and validations
• components/AuthForm.tsx: Refactored logic to support required field errors and updated styles
• app/(auth)/layout.tsx: Removed back button
• components/form/Input.stories.tsx: Added container background for realistic preview

UI changes

Updated Login and Sign Up pages
✅ Improved styling and spacing
✅ Inputs now follow consistent sizing and validation rules
✅ Storybook Input stories show realistic width and background

Changes to Documentation

No documentation changes were required.

Tests

Only manual testing has been performed at this stage:

• Verified inputs, validation, and password toggle on both login and signup
• Tested error message displays and submit prevention on incomplete forms

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