[DX-629] Add Chat React API references

[m-hulbert]

Description

This PR adds an API reference for Chat in React using the new NestedTable and MethodSignature components. It should have parity with the TypeDoc references.

There is 1 commit per file, however I haven't yet updated the references in the conceptual content to point to these references yet to keep this PR smaller for review feedback. I will add that as a final commit once we are happy with this content.

Checklist

• Commits have been rebased.
• Linting has been run against the changed file(s).
• The PR adheres to the writing style guide and contribution guide.

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