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However the home side were unfortunate to be behind and deservedly pulled a goal back on 89 minutes with Stephen Dobbie's second goal in two games since joining on loan from Swansea.
Nigel Pearson's side then had to withstand five nervous injury-time minutes which included a home penalty claim controversially waived away in the dying seconds.
The win ended a run of five straight away defeats for the visitors including four in the league and was their first win in six league games. But the victory will have been made more welcome for the travelling fans as it completed a season's double over their old manager, Ian Holloway.
The Seasiders had played their part in a full bloodied encounter but their second home defeat in a week will have dented their own play-off hopes.
Even before N'Guessan's precise finish in off the post from 20 yards, Matt Fryatt had been denied by the legs of keeper Matt Gilks, while Dobbie had seen his drive touched on to the bar by visiting keeper Chris Weale.
Dobbie then saw his effort saved on 20 minutes, before Andy King's volley was kept out by Gilks.
After the break Fryatt saw his close-range effort somehow kept out by Gilks, then it was Weale's turn with flying saves from a Keith Southern header and a Charlie Adam volley.
As the home side pressed forward the victors found the gaps and Fryatt crossed for Dyer to finish from close range with possibly his first touch of the game.
That seems to have settled the game but Dobbie's superb dribble and strike from 20 yards which finally beat Weale set up a grandstand finish, in which Adam collected a booking for diving as his penalty claim was denied.