I have/had 2 unknown fig trees for 5 and 17 years, none of them give me sweet figs or all figs drop before ripen.
Last year August, I tasted one "Desert king" fig, It was large, juice and very sweet from Co worker, He told me that Tree was only 3 years old with tree size 8 FT tall and 6 FT wide and produce 100+ breba.
I learn that My area is PNW area with very weak SUN, where only limited number if fig trees do well and "Desert king" probably the best and reliable tree with biggest breba Crop.
I bought 7 "Desert king" fig trees and I planted 4 in ground but unfortunate weather quickly turn bad, Ground freezing, flooding, I am hoping that 2 of them alive in this Summer.
"Desert king" here bear a big size of figs, it doesn't need pollinating, It is about 80 -100G size, very sweet and juice with pink flesh, it bears a reliable big Breba but almost no main crop, it bears small main crop only once every couple years, it needs figs wasp to pollinating which do not happen here, Some report that figs taste bland but some report that taste sweet and jammy.
Fig trees are very picky, Desert king do well here but many other fig tree do not do well here, But I think that you are in NY, I am worry about that it can not handle the cold weather in your area. you might ask other people on what type of fig trees do well in your area.