The technologies feeding this wonder are Agriculture, Alchemy, Doors, Draftsmanship, Mathematics, Monarchy, Plant-Based Ink, Private Property, and Procrastinating. Therefore the puzzle answers feeding this meta are these:
INGRID
STIRFRIED
COLONEL
MERCURY
HEXAGONAL
SUFFOLK DOWNS
UPKEEP
BURDEN
LARGE CRABGRASS
But first, solve the chess problem according to standard chess-puzzle rules (i.e., black is not cooperating with white, but will make whatever moves will delay checkmate as long as possible; white has to figure out the sequence of moves which will prevent black from delaying any longer than five turns). The moves made in the solution are as follows, disregarding whether any individual move is a capture or check or not:
1. Ng4 Kd5 2. Rc7 Na8 3. Ne7 Ke6 4. Bg8 Rf7 5. Rd6
Each move in algebraic chess notation is represented by two letters and a number. As it happens, each of those letter pairs occurs in exactly one of the puzzle answers. For each move of the chess problem, find the puzzle answer containing that letter pair and extract the letter of the answer indexed by the number:
NG4 iNGrid → R KD5 suffolKDowns → O RC7 meRCury → Y NA8 hexagoNAl → A NE7 coloNEl → L KE6 upKEep → P BG8 largecraBGrass → A RF7 stiRFried → I RD6 buRDen → N
This spells ROYAL PAIN, which is the answer to the metapuzzle.