[Firebase AI] Improve Live API FunctionCalling

[a-maurice]

Description

Provide details of the change, and generalize the change in the PR title above.

Add special logic to handle Live API Function responses. Add the Id to the Function Call logic.

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Testing

Describe how you've tested these changes.

Testing locally.

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Type of Change

Place an x the applicable box:

• Bug fix. Add the issue # below if applicable.
• New feature. A non-breaking change which adds functionality.
• Other, such as a build process or documentation change.

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[gemini-code-assist]

Summary of Changes

Hello @a-maurice, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

I've enhanced the Live API's function calling capabilities within Firebase AI. This involves introducing specific logic within the LiveSession to handle function responses, ensuring they are correctly formatted and sent. Additionally, I've incorporated an Id field into both the function call and function response structures, which will improve the system's ability to track and correlate these interactions.

Highlights

• Live API Function Response Handling: Implemented dedicated logic in LiveSession.cs to correctly serialize and send FunctionResponseParts as toolResponse objects, ensuring proper communication with the Live API.
• Function Call/Response ID Integration: Added an Id property to both FunctionCallPart and FunctionResponsePart in ModelContent.cs, allowing for better tracking and correlation of function calls and their corresponding responses.
• API Surface Update: Modified the ModelContent.FunctionResponse static method to accept the new optional id parameter, reflecting the updated data model.

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[gemini-code-assist]

Code Review

This pull request enhances function calling capabilities for the Live API by introducing an Id to FunctionCallPart and FunctionResponsePart for better correlation. It also adds logic to LiveSession to handle sending FunctionResponsePart as a distinct toolResponse. My feedback focuses on improving code clarity and ensuring consistent serialization behavior.