## Issue: Mount Chainlit App within FastAPI

[Zochory]

Description:

Integrate the existing Chainlit application as a component within the new FastAPI backend. This allows leveraging Chainlit's UI and features while transitioning to the unified API.

Acceptance Criteria:

• The Chainlit UI is accessible through a specific route within the FastAPI application (e.g., /chainlit).
• Chainlit functionalities operate as expected within the FastAPI context.
• Clear instructions are provided on how to access the Chainlit UI.

Implementation Notes:

• Investigate Chainlit's internal structure to determine the best way to mount it within FastAPI.
• Consider using FastAPI's sub-application mounting capabilities.