We are currently working on step 4, to Separate UI rendering. We've divided this implemeaantion up into 4 steps, steps A,B,C and D:

• A. Creating a UIComponent base class and specific implementations (HUD, GameOverScreen)
• B. Implementing a UILayer to manage all UI components
• C. Integrating UI rendering into the RenderingEngine with a separate renderUI method
• D. Implementing basic UI state management within the UILayer

We've already completed steps A. and B. We will now continue with step C, integrating UI rendering into the RenderEngine with a separate renderUI method. First give me a brief explanation for why we should do this. Then you may proceed with the implementation