What is an equivalent or compatible chainring for this Deore XT "24-AM" chainring?
Yep, that inner ring has go some nice shark-fin teeth. I predict your photo will be used in future questions about chain ring wear :-) The outer ring looks well- worn too.

An XT equipped bike from 2012 will have the M780 XT series crank which has four symmetrical bolts. The newer XT M8000 series has asymmetrical bolts.

I'm not sure if actual M780 rings are available but there are good aftermarket options for chainrings in general. All you need to know is the bolt-circle diameter (BCD) for the inner ring, which is easily measurable. You should be able to find a replacement with a symmetrical 4 bolt pattern in the tooth count you want at any of the larger online bike component stores.