Where does she go when she escapes? Since she is a Pyr-Anatolian cross it sounds like she has the full Pyr wandering gene in spite of her Anatolian appearance. Pyrs are almost impossible to confine if they have that intense wandering gene. Might be the reason the owner was getting rid of her at 5 months old. By 5 months a good LGD should be staying with the sheep.
If she comes up to the house and hangs out on the property, you could allow her to be an all around the farm guard. Get another proven LGD for the sheep. If she leaves the property consistently and runs off I would rehome her and just get another LGD. She isn't guarding those precious lambs if she is off running around somewhere.
Life is too short to have to chase after an LGD that won't stay with her sheep! Count up the hours you have wasted getting her back, the $$ spent in trying to fence her in, and think hard about whether it is worth it. You haven't lost any sheep yet, but t is going to be a long, dry summer and that brings in the predators.
On the other hand, if she is leaving the property and chasing off predators from a self determined boundary of her own, and you are ok with that, then she may be doing an adequate job. BUT remember that the farther out she is working, the more backup she will need in the event of an attack on the flock. If you have several pastures she needs to cover, you may need to bring in a 3rd dog anyway. Have you determined where she goes when she escapes? Is the coyote load so bad that she is leaving the property to chase them off outside the perimeter she has decided is a safety zone for her sheep? Pyrs will set their own perimeter and it will change with the predator load.
Is she guarding her own perimeter? or is she just not wanting to work? You need to determine this before trying to "train" her in a way she is genetically unable to perform. She might be guarding the sheep like a Pyrenees.