Institute failed to close the gap with the league leaders after being held to a 2-2 draw.
They had a chance to go two points behind Warrenpoint at the weekend.
However, they only managed to secure one point against bottom place Annagh United.
Stute were missing in-form pair Michael McCrudden and Stephen Curry.
Kevin Deerys side now sit in second place, just one point ahead of third place Ballyclare Comrades.