Cut it in 2" to 2.5" wide strip and lock the end by wrapping
it around the tube then stretch it to an angle where-as
each wrap covers the previous one by 1/2.
Start the wrap the same direction the carbon was wrapped
or it will bunch the carbon with a wrinkle.
Cut the peal-ply Long enough to cover your repair + a
few inches on each side.

Use tape to Lock the bitter end.
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Everything Ya said in your first post is what i would do
EXCEPT
The wrap with the carbon ---
cut that carbon so the fibers align (+ - 45deg) with the orientation of your part.
This gives TWICE as many fibers crossing the break.

The only way to do better would be to use
(Stitched Carbon Fabric) Ya get about a 30% increase in
strength by NOT weaving a fiber of Any type that's used
in composites.