Well, don't let the fact that there were close to a dozen other Iraqi Army battalions right in the thick of Operation Al-Fajr stop you.
1st Bn, 1st Brigade, Iraqi Intervention Force 2nd Bn, 1st Brigade, Iraqi Intervention Force 4th Bn, 1st Brigade, Iraqi Intervention Force 5th Bn, 3rd Brigade, Iraqi Army 6th Bn, 3rd Brigade, Iraqi Army
... each of these fought pitched close-quarters battles in the initial assault. Several battalions of the 2nd Brigade IIF rotated in afterwards to help search the south and northeast, and saw plenty of combat.