From my understanding the digitizer is fuzed to the lcd and would require a heat gun
. I've never done it but from what I've read its quite difficult to do, I had a 2012 nexus 7 that got a cracked screen and I bought a bricked one, and swapped the soc's. The 2012 was pretty easy to crack open tho, did it with my fingernails, idk how easy the 2013 is to open. You may be able to go the rout I did with my old 2012, possibly find a bricked one on eBay for cheaper than a brand new display assembly, and swap the motherboards.
Best of luck