A non-answer that doesn't help you in worldbuilding, but is a realistic evaluation of the usefulness of 3D printers in early-human-history.
How many 3D printed items does the average modern human own? Probably zero, unless he was given one by a friend or owns a printer. If current 3D printers are not used for creating common items now, similar machines probably won't be useful in the bronze age either.
FDM 3D printing is an inefficient process. Compared to casting, cutting, weaving and just about everything else, 3D printing is slow, imprecise, and restricted in material choice.
Even if a 3D printer could be built in the bronze age, it would not replace their existing manufacturing methods and probably could not produce items they would be interested in. As a result, even if created, economic pressures would consign the technology to trinket manufacture.
With hand tools, a skilled carpenter can manufacture quite large items in a day. The Amish did barn raising - creating entire buildings in a single day. Have a go with a 3D printing pen and you'll find out that it's a fairly slow process. Modern hobby-grade 3D printers measure extrusion speeds in mm/s (for a 0.4mm strip of plastic). Printing a 10cm cube takes hours, objects larger than 40cm take days.
You want a bowl? A guy with a knife can out-manufacture a 3D printer.
Calcium carbonate is kind-of terrible as a construction material. How many every-day items are made out of chalk? How many items that a bronze-age-dude would be interested in could be made out of chalk? Knife? nope, knife handle? nope, bowl? nope?
Even if the material was passable, single material items are limited. A fully metal spear is heavy and unweildy but a fully wooden one can't won't be sharp for long. Even "wonder materials" like carbon fibre and advanced composites aren't used everywhere for exactly the same reason. There really isn't a one-size-fits-all.
So given that 3D printers suck, why do we use them in the modern world (and why do I have one sitting under my desk that I use fairly regularly?)
3D printers overcome their slowness in the modern world because they don't require secondary equipment to produce items. Casting (which was invented in the 1600's) can produce items extremely fast, but you have to make a mold - which can be a much more time consuming process.
3D printers allow data to be transmitted digitally. I can design an item here and send it to you there and you can manufacture it. Transfer of information is cheap and fast in the modern world. In the historical world, transfer of information was expensive and the same speed as sending the actual goods.
Also, many modern items don't need to be robust. I don't manufacture plows, bicycles or knives (aka useful things) on my 3D printer. Nothing that I manufacture would be of interest to Mr Bronze Age.