How to properly bake light in HDRP for Area-light?

I have a scene where there are many lights of type Area. And if you set the mode to Bake, then there are shadows, but there are no reflections and highlights. If I set the Mixed mode, then there are practically no shadows, but reflections and highlights start to work. Please tell me in which direction I should move in order to have both shadows and highlights with reflections with Area-light. And I apologize for the clumsy translation, I do not know English well.![alt text][1]