dimensionality and number of forces

When I was a high school student, I had a strange intuition. I thought there must be a link between the dimensionality of space (3D) or space and time (4D) of the universe and the number of forces that exist in the universe. In other words, because there are 3 forces, gravity, electric force, and magnetic force, the space is 3D...

Of course, this is a naive intuition without scientific reasoning. But when I came across a YouTube video about Kaluza-Klein theory and the development of the string theory afterwards, it reminded me of the idea. One of the moments I occasionally have that I wish I studied physics harder.