The words "precision" and "FAL" generally should NOT be used together!
Some of the DSA's I have seen were quite capable with ammo tuned to their liking, along with a decent optic and shooter doing their part, but at best, I'd call them no better than 1.5 MOA on any meaningful, consistent basis. Now, some of the Vandenberg HIGHLY modified FALs I have seen were sub-MOA capable, but no idea on wait-times or prices these days. Most folks have more or less abandoned the FAL platform these days for any number of vastly more capable platforms, but I digress...
If you want a gasser for gun games...at least on a cost-effective basis...skip the FAL and grab any number of highly adaptable large-frame ARs, many of which are capable of sub-MOA accuracy right out of the box (again...with a competent shooter and quality ammo fit for those purposes).