feat(node): Add Anthropic AI integration

[RulaKhaled]

This PR adds official support for instrumenting Anthropic AI SDK calls in Node with Sentry tracing, following OpenTelemetry semantic conventions for Generative AI.

We instrument the following Anthropic AI SDK methods:

• messages.create
• messages.countTokens
• models.get
• models.retrieve
• completions.create

Supported in:

• Node.js (ESM and CJS)
• Will be added to cloudflare workers and vercel edge functions exports.

The anthropicAIIntegration() accepts the following options:

// The integration respects your sendDefaultPii client option
interface AnthropicAiOptions {
  recordInputs?: boolean;   // Whether to record prompt messages
  recordOutputs?: boolean;  // Whether to record response text
}

[github-actions]

size-limit report 📦

Path	Size	% Change	Change
@sentry/browser	24.16 kB	-	-
@sentry/browser - with treeshaking flags	22.73 kB	-	-
@sentry/browser (incl. Tracing)	39.87 kB	-	-
@sentry/browser (incl. Tracing, Replay)	77.99 kB	-	-
@sentry/browser (incl. Tracing, Replay) - with treeshaking flags	67.83 kB	-	-
@sentry/browser (incl. Tracing, Replay with Canvas)	82.69 kB	-	-
@sentry/browser (incl. Tracing, Replay, Feedback)	94.79 kB	-	-
@sentry/browser (incl. Feedback)	40.83 kB	-	-
@sentry/browser (incl. sendFeedback)	28.81 kB	-	-
@sentry/browser (incl. FeedbackAsync)	33.7 kB	-	-
@sentry/react	25.88 kB	-	-
@sentry/react (incl. Tracing)	41.86 kB	-	-
@sentry/vue	28.64 kB	-	-
@sentry/vue (incl. Tracing)	41.69 kB	-	-
@sentry/svelte	24.18 kB	-	-
CDN Bundle	25.66 kB	-	-
CDN Bundle (incl. Tracing)	39.76 kB	-	-
CDN Bundle (incl. Tracing, Replay)	75.82 kB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback)	81.27 kB	-	-
CDN Bundle - uncompressed	74.96 kB	-	-
CDN Bundle (incl. Tracing) - uncompressed	117.59 kB	-	-
CDN Bundle (incl. Tracing, Replay) - uncompressed	231.88 kB	-	-
CDN Bundle (incl. Tracing, Replay, Feedback) - uncompressed	244.48 kB	-	-
@sentry/nextjs (client)	43.89 kB	-	-
@sentry/sveltekit (client)	40.32 kB	-	-
@sentry/node-core	47.99 kB	+0.01%	+1 B 🔺
@sentry/node	148.42 kB	+0.76%	+1.11 kB 🔺
@sentry/node - without tracing	92.24 kB	-	-
@sentry/aws-serverless	104.46 kB	+0.01%	+2 B 🔺

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