The present invention is directed to a method of constructing a tire, comprising: constructing a coated filament, the coated filament constructed by coating a filament with a coating material, the coating material comprising at least one substance dispersible in an uncured rubber compound; encasing the coated filament into containment within an uncured flexible tire component, the coated filament extending between an air inlet and an air outlet cavity in the pre-cured flexible tire component; building on a tire building drum a green tire carcass from uncured tire components including the uncured flexible tire component and encased coated filament; curing the green tire carcass into a cured finished tire including the flexible tire component containing the coated filament; removing the filament from the cured flexible tire component to leave within the flexible tire component a substantially unobstructed air passageway.