Short answer
You do not need to throw away the frame to replace torn or dust-clogged insect mesh. With spline and a little patience you can renew the mesh yourself.

Take the frame down
Take the screen down and lay it on a flat surface, find the end of the spline and pull it out.

Cut the new material
Cut the new mesh or window filter so it overlaps the frame a little on every side.

Press it in with spline
Starting at one corner, press the material into the channel with spline, stretching it slightly on the opposite side.

Trim the excess
Trim the excess with a utility knife and put the screen back.
Made to measure: hook-and-loop or roll

