How To Bake Out of range Animation into keyframes

hi all , ill be very thankful if someone can give me some clue on this

i have made a rig and animated it with controller dummies into walk cycle of 40 frames , then i assigned dummies position out of range type to #relativeRepeat so that walk cycle can continue for ever
now all this is working fine but now i want to bake the animation of those animated
dummies for lets say from frame 80 to 180
i tried many things but nothing gave desired results , can someone please suggest

thanks