You measure brace height from the deepest part of the grip to the string. 6 1/8" in your case.

You said you just replaced the cable. Is that right? If so then probably the string has stretched over time so the bow will not be close to specs anymore. Find out what the brace and ATA should be. You may have to twist up the cable and the string together to get things back in spec. Twisting both will also put more preload on the limbs bringing up the poundage.

Are you sure it was the cable? Or the string?