Saints trailed 16-30, but came roaring back as Coote completed his hat-trick and Tommy Makinson brought Saints back to within four points before substitute James Bentley won it in the dying seconds in dramatic fashion with Coote kicking the crucial two.
You can watch all the tries in the highlights below.
Next up for Saints is a trip to Anfield to face Castleford Tigers at the Dacia Magic Weekend on Sunday 26th May with a 6pm kick off. For a limited time only 2019 Members have a further opportunity to take advantage of their exclusive 50% discount on their Dacia Magic Weekend Ticket with the Flash discount running until 5pm on Sunday 19 May.
