[FE-43] Set up auth Context/provider for session state

[mftee]

Overview

There is no client-side auth state anywhere. Every protected page needs to know the current user, whether they're authenticated, and how to log in/out.

Tech

React Context + a custom useAuth() hook, token persisted in memory + localStorage. No Zustand/Redux — Context is sufficient at this scope.

Acceptance Criteria

• Create an AuthProvider wrapping app/layout.tsx exposing { user, accessToken, isAuthenticated, isLoading, login(), logout(), refresh() }
• On mount, attempt to restore a session from a persisted refresh token before rendering protected content
• login() calls POST /auth/login (or handles the OAuth redirect token per auth.controller.ts's redirectWithToken pattern) and populates state
• logout() clears local state and persisted tokens
• Exposes a useAuth() hook for consumption by pages/components

[Chinonso-Peter]

@Chinonso-Peter has applied to work on this issue as part of the Stellar Wave Program's 7th wave.

Can i work on this

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[codenerde]

@codenerde has applied to work on this issue as part of the Stellar Wave Program's 7th wave.

I will work here

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[feyishola]

@feyishola has applied to work on this issue as part of the Stellar Wave Program's 7th wave.

Hello im Feyishola a software developer with over 5 years of experience. please i would love to handle this issue

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[grantfox-oss]

🎉 This issue has been marked as completed on GrantFox as part of the Official Campaign | FWC26 campaign!

@feyishola's PR #1111 was approved and merged by @mftee.

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👏 Great work, @feyishola! Keep contributing to CodeGirlsInc.

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