Gresham's first Ring of Honor World Championship defense will take place in Game Changer Wrestling.
The AEW talent is the ninth announced for BOLA.
The PWG World Champion is the eighth participant announced for BOLA.
Both are off this Friday's GCW event in Los Angeles.
Cartwheel is the seventh entrant for next month's tournament.
Garcia is the sixth entrant for next month's Battle of Los Angeles event.
An indie referee was seriously injured Saturday in Irving, Texas, in a blade spot gone terribly wrong.
A fifth wrestler has been added to the BOLA lineup.
The 56 year-old Wagner Jr. will make a rare United States appearance in February.
Rush joins three previously announced competitors in the BOLA.