Next.js 16 + Sentry + Turbopack Integration

Problem

Integrating Sentry into a Next.js 16 project using Turbopack causes multiple issues:

1. Math.random() errors during SSR from Sentry's OpenTelemetry integration
2. Deprecation warnings for webpack-specific Sentry options
3. TypeScript type errors from duplicate Next.js installations
4. Performance tracing conflicts with Next.js 16's prerendering

Context / Trigger Conditions

Exact error messages you'll encounter:

Route "/[locale]/page" used `Math.random()` before accessing uncached data.
    at RandomIdGenerator.generateId [as generateSpanId]
    (@opentelemetry/sdk-trace-base/src/platform/node/RandomIdGenerator.ts:42:41)