Add support for the AG-UI (Agent-User Interaction) Protocol to enable standardized real-time communication between AI agents and frontend clients.

The implementation should expose agent execution events (e.g., messages, tool calls, reasoning/status updates, errors, completion, and streamed responses) using the AG-UI protocol, allowing compatible clients such as CopilotKit and other AG-UI consumers to interact with the backend without custom integrations.

Scope

• Implement AG-UI protocol support for agent execution.
• Stream agent events (text, tool calls, status, errors, completion, etc.).
• Map internal workflow/agent events to AG-UI event types.
• Support incremental/streaming responses.
• Ensure protocol compliance with the AG-UI specification.
• Provide an extensible architecture for future event types and protocol updates.

Acceptance Criteria

• AG-UI compatible clients can communicate with the backend.
• Agent responses are streamed using AG-UI events.
• Tool invocation lifecycle is exposed through the protocol.
• Errors and cancellation events are properly propagated.
• Protocol implementation is documented and covered by integration tests.

Benefits

• Standardized frontend integration.
• Interoperability with existing AG-UI ecosystem tools.
• Easier maintenance by decoupling internal agent logic from client-specific protocols.
• Foundation for future multi-agent and workflow integrations.