How To Apply New UV Edit to Model So I'm UV Editing when suddenly I discovered that the edits I was making weren't applying to the model in the Layout tab. I was confused and went back to the UV Editing tab and discovered that the edits were being made there. Why is that? Do I have to apply somehow to the material?
Here is the image of the Layout tab

Here is the image of the UV Editing tab (what I want to appear in the Layout tab)
Yes you have to apply the texture. To do this in the Shader Editor add an Image Texture Node and a UV Map node. And then it will apply your mapped texture.
The set up looks like this.