This has more to do with the synthesis process itself, but here's a good read [0]. Youll notice most of the problems are around cost and logistics, but if we had the funding of the human genome project, that would be a non issue. I dont know if any articles discussing the epigenetics really exist since the organisms so far are ones where that's not really so much of a problem yet - I don't now of any de novo synthesized efforts in multicellular organisms but perhaps someone has a link (not counting cloning - the epigenetic information is carried along in the transfer).
[0] https://www.nature.com/articles/d41586-020-00511-9