Help Needed with Using Colors in After Effects

Hello,

I'm new to After Effects and I'm struggling with handling colors. In Illustrator, I usually work with swatches and the color window, but in After Effects, I only see the color window with a picker. I have my color palette saved in the library, but I'm not sure how to apply these colors to shapes.

Here's what I'm experiencing:
1. I select the shape in After Effects.
2. I try to apply a color from my palette in the library.
3. The shape does not take the color from the palette.

Can someone guide me on how to properly use the color palette from the library to color shapes in After Effects? Any step-by-step instructions or tips would be greatly appreciated.

Thank you!