feat: login functionality update

[raseltechnext]

Summary

• What does this PR do?

Changes

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Checklist

• PR title is semantic (e.g., feat: add X, fix: correct Y)
• Linked issue (Fixes #ID)
• Lint passes locally (pnpm lint)
• Build pass locally (server: pnpm --filter server test)
• Includes migrations or schema changes (if any) documented
• Updated docs/changelog if needed

[Copilot]

Pull Request Overview

This PR updates the login functionality by simplifying authentication paths and consolidating login logic into the LoginForm component.

• Shortened authentication paths from /authentication/default/* to /auth/*
• Moved authentication logic directly into LoginForm component, removing unnecessary prop drilling
• Updated sign-out flow to use authClient and redirect to the new login path

Reviewed Changes

Copilot reviewed 4 out of 4 changed files in this pull request and generated 1 comment.

File	Description
apps/client/src/routes/paths.ts	Simplified auth paths by removing /default segment from login, signup, and forgot-password routes
apps/client/src/layouts/main-layout/common/ProfileMenu.tsx	Updated sign-out handler to use authClient.signOut() and redirect to the new auth path structure
apps/client/src/components/sections/authentications/default/LoginForm.tsx	Consolidated login logic into the component by removing handleLogin prop and calling authClient.signIn.email directly; added loadingPosition prop to submit button
apps/client/src/app/auth/login/page.tsx	Simplified page component by removing local state and login handler, now using authPaths instead of paths

Comments suppressed due to low confidence (1)

apps/client/src/layouts/main-layout/common/ProfileMenu.tsx:102

• Avoid automated semicolon insertion (92% of all statements in the enclosing function have an explicit semicolon).

  }

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[Copilot]

Missing semicolon at the end of the function declaration. JavaScript/TypeScript best practices recommend using semicolons consistently throughout the codebase.

Suggested change

	}
	};