I've had tires patched and they've held up real good. They've come a long ways in tire patch technology. But the screw cannot be in the sidewall area or too close to the corner of the sidewall.
Would you replace it you had to pay $100 but the patch were safe and free? Would you replace it if new tire was free? Now tell us if you would replace it for $28. Answer should be obvious without needing any input from BITOG.