CAD Drawing for 3D Logo Model

I need an existing logo, currently in JPEG/PNG format, converted into a CAD drawing to create a 3D model. The 3D model will consist of 3 interlocking pieces that can be manufactured from wood using a laser cutter.

Requirements:
- Convert logo from JPEG/PNG to CAD
- Create a 3D model with specified height and depth (width not needed)
- Design should allow pieces to slot together seamlessly

Ideal Skills and Experience:
- Proficiency in CAD software
- Experience with 3D modeling and laser cutting
- Ability to work from 2D images and follow specific dimensional requirements

Please provide examples of previous similar work.