You might need new chainrings, but maybe not. In the hope of being able to do your ride clean all the gunk off the granny and middle chainring, and lube your chain thoroughly with a decent wet chain lube. Often times chain sick is a chain lubrication problem, not a chainring problem.

Also chain suck occurs most often during the shift to the granny when slack is created before the RD can restore tension in the lower loop. Try dropping your cadence and even timing a pause for when the chain comes off the bottom of the larger rings during down shifts. This isn't ideal, and you really want the bike to be bulletproof for chainsuck, either with new rings if needed or good lubrication, but it might allow you to make your ride.