docs: consolidate daily docs audit fixes

[clockwork-labs-bot]

Description of Changes

• Fix TypeScript connection examples to call DbConnection.builder() without new and include .build().
• Document reducer context random APIs across TypeScript, C#, Rust, and C++.
• Align reducer skill determinism guidance with the documented context-provided RNG API.
• Consolidates the work from docs: fix TypeScript connection builder examples #5403 and docs: document reducer context random APIs #5306 into the single daily docs audit branch bot/docs-audit.

API and ABI breaking changes

None. Documentation and agent skill guidance only.

Expected complexity level and risk

1. This is a low-risk docs-only change plus one agent skill wording update.

Testing

• pnpm --dir docs build passed. Docusaurus emitted the existing docusaurus-plugin-llms-txt warning for /docs/ask-ai/ask-ai, then generated static files successfully.
• Reviewer can check that the TypeScript connection snippets match the SDK builder API.
• Reviewer can check that the reducer context RNG examples match the supported APIs for each SDK.