curious as to how your "mechanic" determined #6 is dead ,
does the car build boost smoothly under footbrake, if it cant then you may have a missing cylinder
was the exhaust mainifold tube at # 6 cooler than the rest when idleing?
(this could be checked with your hand or with a infrared thermometer
did he pull the plug ?
is the plug ok, wet / dry, fouled? ,does it look clean ,grey , black ?
is the plug cracked from install ?(thats a tight spot for some to get installed even with a swivel plug socket)
does it have compression ?
did he do a leakdown test ?
does the spark fire to #6?
is the wire ok and not open tested with ohm meter or with a plug installed on wire and visibly checked for spark , is it corroded at the terminals or coil ?
is the boot all the way down on the plug and clicked ?
if plug is dry is the injector firing ?
this is what you check for a cylinder that looks to be not firing .
and if you lose# 6 due to bad ign module or coil pack you would also lose #3