docs: add ts summarization-conversation-manager in user guide

[notowen333]

Description

Add SummarzationConversationManager docs for ts.

Related Issues

Type of Change

• New content
• Content update/revision

Checklist

• I have read the CONTRIBUTING document
• My changes follow the project's documentation style
• I have tested the documentation locally using npm run dev
• Links in the documentation are valid and working

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[github-actions]

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Updated at: 2026-04-02T17:06:55.971Z

[github-actions]

Assessment: Approve

This PR adds TypeScript documentation for SummarizingConversationManager following the established patterns in the codebase. The documentation correctly reflects the API differences between Python and TypeScript SDKs.

Review Notes

• Code Examples: TypeScript snippets correctly use camelCase parameters (summaryRatio, preserveRecentMessages, summarizationSystemPrompt) matching the SDK implementation
• API Differences: Appropriately documents that TypeScript uses model parameter for overriding the summarization model, while Python offers both summarization_agent and summarization_system_prompt options
• API Links: The @api/typescript/SummarizingConversationManager link follows the established pattern used elsewhere in the docs
• CONTRIBUTING.md & package.json: The sdk:sync script addition is a helpful utility for keeping docs in sync with SDK changes

Nice contribution adding feature parity documentation for TypeScript! 🎉

[lizradway]

Not trying to throw you for a wild goose chase, but it might make sense to isolate the huge change log generated by linting to a separate PR since linting changes are burying the real change diff. I think the summarizing conversation manager changes look good though.