The only real minor league depth the Yanks have is in their starting pitching. Garcia/Schmidt/King are all young with upside.
On the position player side, Andujar is the only guy they could call up who would probably have any impact. But he's hurt anyway, and hasn't played consistently in over two years. The OF depth is pretty good on the ML level with Judge/Hicks/Frazier/Gardner/Tauchman but the IF depth is trash. Wade is a glove only guy, Ford played well in 2019 but I guess mgmt thinks it was a fluke otherwise he'd be playing first over Bruce and his .118 batting average, and yeah that's pretty much it. They traded Estrada last week to make room for Odor, who is older, less versatile, and probably a worse hitter. But at least he's left handed!