The reading ごうき is correct, using the On'yomi for 剛 (ゴウ) and 毅 (キ). Incorrect readings like ごうぎ or こうき misinterpret 毅 or 剛, which consistently take their standard sounds. This term denotes strong-willed resolution, fortitude, and unwavering determination in difficult situations.

「ごうき」は剛（ゴウ）と毅（キ）の音読みです。「ごうぎ」や「こうき」は毅または剛の誤読です。意志が強く、困難に屈しないさまを表します。