The National League braves fought back from 2-0 down to take the FA Cup second round replay to extra time.
The League One club looked to be cruising and went ahead when a corner from Jordan Thompson found Armand Gnanduillet free in the box.
Blackpool already appeared to be heading through when Joe Dodoo doubled their lead.
But Moors are made of strong stuff and gave themselves hope when Adi Yussuf headed home to the joy of over 400 travelling fans.
They couldn’t believe what they were seeing soon after when the Moors’ forward got his second from the penalty spot.
But it was a spot kick which proved to be their undoing.
The otherwise excellent Jamey Osborne tried to clear his lines but Gnanduillet put his head in front of the ball and took the kick.
Former Liverpool man Jay Spearing converted from 12 yards and it is they who welcome Arsenal in January.