Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (mon) 5
Communication Breakdown; Confusion; Situational Awareness
ATC Issue All Types; Conflict Ground Conflict; Less Severe; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Runway
Human Factors; Procedure
Aircraft X was cleared for takeoff on Runway 22L. City vehicle called for instructions to west ramp.  I instructed the vehicle to proceed via taxiway E; F; & turn left at taxiway A and hold short of Runway 13.  I did not issue a crossing or hold short instruction for Runway 22L.  The vehicle then crossed the runway.  As the city vehicle was clearing Runway 22L the local controller advised me that aircraft X was airborne.  Aircraft X was approximately 100 feet in the air and just north of taxiway G. There is 1600 feet between taxiway G and F. New tower that is taller or in a different location.  It is very hard to see aircraft at the approach end of Runway 22L.
BTR FLM reports of a vehicle wanting to go to the other side of the airport from their present position. Instruction is given with a hold short of a specific runway; which is the third runway that the path will cross. Vehicle doesn't hold short at first runway and crosses while an aircraft is departing that runway.