chore: add vite-better-auth example

[pi0]

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Project	Deployment	Review	Updated (UTC)
nitro.build	Ready	Preview, Comment	Jan 13, 2026 4:55pm

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✨ Finishing touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch chore/better-auth-example

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