Welcome to our community. Our Lasercutter will be very useful for your project. It makes really clean cuts on acrylic and they are highly accurate, so for inlays and such this should work very well. I’m not an expert though, but from your sketch, it looks like you could achieve that at SLMS.
I just randomly picked these from posts here on Discourse:
I would highly recommend to come to an Open Evening and check out the space for yourself. The next one will be on Wednesday, May 31st from 7pm-9pm. No reservation needed, just come.