Possible note for the future, I think mapping a way with both `highway=construction` and `bicycle=designated` can imply that the way is still accessible by bike while under construction. Or at least that looks to be the case going off of https://wiki.openstreetmap.org/wiki/Tag:highway=construction#How_to_map_the_start_of_a_road_repair_or_reconstruction

Either that or I've been using some non-compliant routing software