chore: upgrade Next.js to version 14

[hiteshshetty-dev]

Description
This PR upgrades Next.js from version 13.5.6 to 14.2.32 and updates the build configuration to be compatible with the new version.

Issue
Resolves: #5949 & #5948

Context

1. Upgraded Next.js: From ^13.5.6 to ^14.2.32
2. Updated build script: Removed deprecated next export command since Next.js 14 uses output: 'export' in config
3. Modernized next.config.js: Added proper TypeScript typing and output: 'export' configuration

Checks

• The new code matches the existing patterns and styles.
• The tests pass with yarn test.
• The linter passes with yarn lint. (Fix errors with yarn fix.)
• The relevant examples still work. (Run examples with yarn start.)
• The relevant e2e test cases are passing.
• You've added a changeset if changing functionality. (Add one with yarn changeset add.)

[changeset-bot]

⚠️ No Changeset found

Latest commit: dc591c3

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

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[dylans]

Thanks, I was struggling when I attempted to update this to Next 15, so I appreciate going more incrementally here.