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Dougall scored either side of halftime at Wembley in Sunday's League One play-off final to seal a 2-1 win for Blackpoool over Lincoln.
The uncapped Dougall's double ends a six-year absence from the Championship for Blackpool, during which they also dropped down to League Two.
Ollie Turton put Lincoln ahead after just 48 seconds - the quickest goal in third-tier play-off finals history - before Dougall equalised 11 minutes before the break.
The Australian made it two and put Blackpool ahead with a low drive from 20 yards eight minutes into the second-half.
"Left foot, right foot," Dougall posted on his Instagram account along with an explosion emoji.