I used this same approach to make a “Westworld” logo. (A party decoration for an upcoming event)
Here is the base with the outline cut on it so that I can align the upper layer properly
By doing these as separate elements it cut much faster (profile vs. pocket) and it is much easier to paint
The final sign
This took me an afternoon to layout and cut. The longest part was waiting for the paint to dry overnight before gluing everything together.
It is a joy when everything works out like I want it too. 