I dont build with Monterey Cypress as it has much less of the Cypress smell than a Spanish Cypress but the dimensions should be close...
Cypress sides I take down to .075-.80. The backs I take to about .100 as they take more abuse (flamenco playing can be vigorous

).
For the top, with Englemann depending on the stiffness of the top I would target .110 as the thickness and then for graduating the top I would keep the upper bout that thickness. For the lower bout if you think of the bridge area as the peak of the lower bout in terms of thickness and then taper the thickness of the top towards the edges to where the edges of the lower bout end up at about .090 to .095, the top will hold up but still resonate well for a first guitar.
Typically the fan bracing will be the same as any spanish classical but instead of having two transverse angled finger braces near the tail, those are left off. This gives the full sound (and for flamenco a sharp attack) but with less sustain because the top is looser so the decay is faster. That is desired because of the speed and nature of playing as sustain would make it sound muddy.
On my fan bracing for a 7 fan I start with the center brace at .230 x.230, the next on each side at .210 x .230, the next two on each side at .195 x .195 and the outside two at .175 x .195, shape them to a triangular shape and them taper the height down to .025 at the ends with the peak being just in front of the bridge and tapered down on each end to .025.
It ends up looking close to a parabolic shape to the brace but a little more angular.
The biggest problem with first flamencos is that they are built too heavy. Flamenco guitars are built as light as possible and are often played to destruction (literally) as many players play with high tension strings going for a bright loud attack but it takes it toll on the instrument with the instrument being built so light.
I am not sure what plans he is using but the most important part of flamenco construction is to get low action for the fingerboard. A good flamenco has the action as low as possible so it can be played faster, even if it means ocassional buzzing which is usually expected and tolerated.
Hope that helps.