From what I can see, a desktop forge is just a 3D printer, so the feedstock is actually a powder. Shouldn't you be able to just fit a tag eraser into the feed chute of the feedstock hopper, and just have it run while the printer is running, thus erase all the tags from the feedstock as it pours into the printing area?
Or, hell, just make your own feedstock, depending on what you're building, it's just powdered metal. I'm seeing that kind of crap for like... A firearm. Just a plain vanilla firearm doesn't need electronics in it, so you could possibly crank a tag eraser up to 11, and fry everything, or just use a powdered metal/alloy that you have made/gotten as a clean feedstock.
I keep thinking of the recent PopSci (I think it was PopSci...) article talking about a 3D printer using titanium powder, and a group trying to print a full prosthetic hand using it, but they also talked about using them to print turbines for jet engines.
Which leads me to think... With a big enough one, couldn't you build some pretty hefty weapons, or drones?