docs(patching): introduce new patching methods and modes, update documentation

[jxnl]

	🚀 This PR description was created by Ellipsis for commit 888d695.

Summary:

This PR updates the OpenAI client patching documentation, introducing two patching methods, five patching modes, and three new keywords for backwards compatibility.

Key points:

• Updated documentation for patching the OpenAI client.
• Introduced two ways to patch: the client itself or a specific function.
• Introduced five modes for patching: Function Calling, Tool Calling, JSON Mode, Markdown JSON Mode, and JSON Schema Mode.
• Provided examples for each patching mode.
• Introduced three new keywords for backwards compatibility: response_model, max_retries, and validation_context.

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[ellipsis-dev]

Looks good to me! Reviewed entire PR up to commit 888d695

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Comment at docs/concepts/patching.md:44

The section 'Patching Modes' is repeated in the document. Please remove the duplicate section.

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