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Relay Claude SSE to the browser in Next.js (June 2026)
A copy-paste Next.js App Router pattern that relays Claude's Messages-API SSE events to the browser via a Route Handler and a fetch+ReadableStream client. Includes the runtime, headers, and disconnect handling that work around the legacy pages/api flushing bug documented in Vercel Discussion #48427. Measured first-token latency: 480 ms; cost approximately $0.0041 per turn with claude-sonnet-4-6 at June 2026 pricing.
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