Engraving or etching brass plate

[diesel]

Hello there

I'm hoping to design a custom sundial for my garden. (see attached photo for an example of the sort of thing I'm trying to achive.)

Is it possible to use photo chemical milling to engrave an intricate pattern onto a brass plate for the dial itself?

If so, to get the closest approximate price should I give my dial pattern a negative Z coordinate to create the grooves, or should I select silk screening and just add a comment that this is to be etched?

Can I also request that the grooves are painted?

Thanks in advance

[Tech2]

Looks like a fun project!
To address your questions I updated Text.