I've seen similar questions like this and highly doubt this is a disproof or anything, but I still find solutions to these types of problems very satisfying. Here is the map I developed with my attempt and a black and white one beside it. https://drive.google.com/file/d/1UKUHvCh1EyXS9vh1j2mFC6ljbwSZ0K4b/view?usp=sharing
I would like someone to color this image to align with the Four Color Theorem, which states that on any map that contains only contiguous shapes, only four colors are required to color the shapes such that no shape bordering one another shares a color. Corners do not count as borders.
If you change the green piece to blue, and change the blue piece in the lower right to white you get the picture below which requires only four colours.