chore: update deprecated API usage in server-ai examples

[jsonbailey]

Summary

Updates three example apps under packages/sdk/server-ai/examples/ to use the current SDK API, replacing deprecated/removed calls.

Changes:

• examples/openai/src/index.ts — OpenAIProvider.createAIMetrics → OpenAIProvider.getAIMetricsFromResponse
• examples/bedrock/src/index.ts — aiClient.config(...) → aiClient.completionConfig(...)
• examples/openai-observability/src/index.ts — migrated from the removed aiConfig.tracker property to the const tracker = aiConfig.createTracker!(); pattern used by the other examples on this branch

No behavioral changes; functional parity with the existing examples.

Test plan

• Build the affected examples and confirm they type-check against the current feat/ai-sdk-next-release SDK
• Spot-run openai and openai-observability examples end-to-end to confirm they still emit metrics

🤖 Generated with Claude Code

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Note

Low Risk
Low risk because changes are confined to example apps and primarily swap deprecated SDK APIs for current ones without altering core logic or data handling.

Overview
Updates the server-ai examples to match the current SDK surface by switching Bedrock from aiClient.config to aiClient.completionConfig.

Adjusts OpenAI examples to use the newer tracking flow (aiConfig.createTracker()) and the provider metrics extractor OpenAIProvider.getAIMetricsFromResponse, removing reliance on the deprecated/removed aiConfig.tracker and createAIMetrics APIs.

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[github-actions]

@launchdarkly/js-client-sdk-common size report
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