Your Headquarters.jd file manages most of the building, you probably changed the Classes and VisibleClasses of some structures, and so the ai can’t find what it would normally build. You also might have handicapped it in some way by changing required pop/phase or something like that.
Iirc, the statistics tracker keeps track of who destroyed what buildings, so you could give the resources to whoever destroyed the most of that player’s structures. Another way would be to put it only for the Conquest Civic Centers mode, so that whoever destroys the last civic center wins.