The Seasiders were 2-0 up at Pontefract Colls, but the hosts roared back late on.
Michael Coulson broke the deadlock for Brid on 12 minutes.
Destiny Nnenanya doubled Brid's advantage on 24, but the hosts came back with two goals in the second half.
Brid boss Scott Kerr told Brid Town TV he was happy despite losing that advantage:
The Seasiders go to Garforth Town on Tuesday night, in NPL East, with a 7.45pm kick-off.


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