I figured out how to center the laser etcher with the help of the YouTuber 3D Printing Professor (https://www.youtube.com/@3dpprofessor).
Here is the specific video – https://www.youtube.com/watch?v=3Vv09j4qqtM&list=PLWW-8GNbKi2DHM2oWk3r4KH3WzyQcRHuu&index=1. In addition, the video takes the viewer through etching and cutting a keychain. I have started the process and etched this, which is the wording on the keychain itself.

I am still working on figuring out how to use the etcher to cut wood, but I am happy with the start of this project.