test(e2e): Add an e2e test for Handshake (prod)

[jfoshee]

Description

Add a test of basic handshake flow against a production instance (for reason of no client UAT cookie).

Updated sessionsProd1 environment.

Remove an obsolete E2E test.

Co-author @nikosdouvlis

Checklist

• pnpm test runs as expected.
• pnpm build runs as expected.
• (If applicable) JSDoc comments have been added or updated for any package exports
• (If applicable) Documentation has been updated

Type of change

• 🐛 Bug fix
• 🌟 New feature
• 🔨 Breaking change
• 📖 Refactoring / dependency upgrade / documentation
• other: E2E test improvement

[vercel]

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Name	Status	Preview	Comments	Updated (UTC)
clerk-js-sandbox	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jun 6, 2025 0:21am

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Latest commit: 072730a

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