<Tri-2023-2032>, hint

Line through A' parallel to BC and line through C' parallel to AB meet at a point P,

then <A'PC'=<A'B'C' ,so P,A',B',C' are concyclic. Since <B'PC'=<B'A'C' line PB' is parallel to AC.

Hence 3 lines of problem concur at P.