A method of additively manufacturing a composite part comprises applying a photopolymer resin to a non-resin component while pushing a continuous flexible line through a delivery assembly. The continuous flexible line comprises the non-resin component and a photopolymer-resin component that comprises at least some of the photopolymer resin applied to the non-resin component. The method also comprises depositing, via the delivery assembly, a segment of the continuous flexible line along a print path. The method further comprises delivering curing energy to at least a portion of the segment of the continuous flexible line deposited along the print path.