Add Honeybadger for tracking errors

[jbranchaud]

In #699, @joelhooks suggested adding Honeybadger to egghead-next. This would allow us to do more fine-grained tracking of errors that occur during runtime.

Prerequisite:

• Set up a new Honeybadger project within the egghead honeybadger account.

Resources:

• Honeybadger for JavaScript
• React Integration Guide
• Error Reporting in Next.js with Honeybadger
• Honeybadger supports Server-side Rendering

[joelhooks]

Superseded by the structured logging overhaul in PR #1552 (merged Feb 6, 2026).

Instead of Honeybadger, egghead-next now has:

• withPagesApiLogging / withAppApiLogging / withSSRLogging wrappers (structured JSON to Axiom)
• tRPC logMiddleware on all procedures
• Client-side debug-logger.ts ring buffer
• Error boundaries with structured reporting
• Axiom Vercel integration for all frontend logs

Honeybadger adds another vendor dependency we don't need — Axiom gives us the same signal with better correlation to backend logs in the egghead-rails dataset.