Dusty, the cube root formula I have used successfuly says that if you will make a stack of .368 at the ends of the fades where you measured .384 you may be close to 53#. This leads me to believe that the bow is not exactly 1.5" wide at the fades (maybe 1 3/8"). So make sure you get the width and riser length (all dimensions for that matter)the same as the patriot. I agree with kenny that .016 is way too much taper. You will have to remeasure and recalculate to get the right taper rate. I agree with greyhawk that it is easier to leave the carbon out because it really does not offer much at all to a hybrid longbow if it is covered with a veneer and glass. I learned this from reading the guys at WTT and I will trust their judgement. Save the carbon till a dozen bows down the road and research its benifits first. But, this formula could be off if you deviate from the exact lam makeup and dimensions of the bow you are copying. Make certain it is carbon and if it is and you get a strip that is exactly the same thickness it will skew the glass/carbon/wood ratio and there is no telling if you will be close in weight or the feel of the shot that your friends bow has because reducing the wood stack alone will throw that off.
In short, it's a guessing game the first time you build one of a particular design. Even the best top notch bowyers in the country are taking a guess when they try a new design. Then they have a bench mark and can get real close on subsequent bows from that form from then on.
If it were me I would trace the profile of the patriot and make a form. I would use this stack which does not include carbon.
glass- .040
veneer- .02
taper- .10375 @ .002
taper- .10375 @ .002
19" riser
parallel- .0625
veneer- .02
glass- .040
finished limb width at fades- 1 3/8"
finished tip width @ nocks- 7/16"
Straight side limb profile from 1.5" past fades to the tips.
I feel confident this would give me a 53# bow. It's even more of a roll of the dice if you decide to use carbon under that back veneer.
Carbon is basically a gimmick unless it is used properly. Bows that have it burried within their stack realize little if any performance gains, mostly just a slightly different sound is all and a stripe on the side. Not to mention most bowyers have experienced separation/shear issues with it because it is not homoginous with the other materials in the limb (especially next to an oily bacote veneer). Quite risky for a first attempt.