Are you sure about the MOS being 62B? I ask because usually Prior-Service (PS) soldiers go to RC configured courses held at various locations across the US (most are not at the AIT site and if they are, are conducted independently of the AIT schoolhouse) and when I search 62B at ATRRS, https://www.atrrs.army.mil/atrrscc/search.aspx, it comes up as a deadend. When I search for all schools in Missouri the Engineer School shows 91L as the Construction Equipment Repairer which when ATRRS Enlisted MOS searched comes up with the multiple school sites I referred to earlier. Either way contact your unit Training NCO as they know where their PS usually go to for MOSQ training. Also, don't be surprised if there are serveral training phases which may include an online phase. Good luck; cul8r.
