docs: update Vercel AI SDK 7 integration

[hassiebp]

Summary

• Update the Vercel AI SDK integration docs from AI SDK v7 beta to generally available AI SDK 7.
• Switch install commands to stable latest npm tags, including @langfuse/vercel-ai-sdk@5.9.0 via the latest dist-tag.
• Refresh the get-started snippet to use registerTelemetry(new LangfuseVercelAiSdkIntegration()) instead of the legacy v6 experimental_telemetry path.
• Add a GA changelog post and add a pointer from the historical beta changelog to the current stable docs.

Validation

• npm view @langfuse/vercel-ai-sdk@5.9.0 version dist-tags dependencies peerDependencies engines --json
• pnpm run format
• pnpm run format:check
• node scripts/check-h1-headings.js
• git diff --check
• Content assertions for stable AI SDK 7 wording, install commands, prompt linking, and notebook JSON
• Clean npm package resolution for the integration docs install command, asserting @langfuse/vercel-ai-sdk resolves to 5.9.0

Note: pnpm run format and pnpm run format:check printed the existing engine warning because this shell uses Node 24 while the docs repo requests Node 22.

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Project	Deployment	Actions	Updated (UTC)
langfuse-docs	Ready	Preview, Comment	Jun 26, 2026 3:04pm