Mizzen Mast Rake ? Or where the hell do I cut hole in new deck?

Well, there is all kinds of esoteric speculation in this dialogue!
First - does the mizzen mast have any RAKE, or angle off from vertical, usually leaning back. I have heard this speculated on sooo many times, but here are the only facts that I know for certain. Where the mizzen mast comes through the cockpit floor is 1 1/2" from the back of the cabin wall to the front of the mizzen. And where it goes through the mast partner clamp, at the top back of the cabin wall, the mizzen mast is 3 1/2" from the wall. Now that is obviously a change of 2" in about 4 feet!!, or, ASSUMING THE BACK OF THE CABIN WALL IS VERTICAL WHEN THE BOAT IS AFLOAT, that means the mast slopes back 2 inches every 4 feet, or an angle of about 2.4 degrees. But you have to remember that the mast is about 38 feet tall. So if you consider the mast partner as a pivot, ie if the step moves one way the mast moves the other, then there is about 8 feet more or less below the pivot and 30 feet above, which means any distance the location of the step is moved results in about four times as much at the top of the mast. Move the step 1 inch, and the top of the mast moves 4" ("roughly" numbers). This becomes really important considering I wasn't quite sure where my step should go. However all that pivot stuff can be forgotten if you just position the mast in the correct position from that for sure information first mentioned, and adjust the step accordingly! Incidentally, the photo is of me locating where the front of the hole for the mizzen is in my new cockpit deck, as well as where the mast step slot for the tenon on the bottom of the mizzen should be, ALL based on the 1 1/2" at the bottom and the 3 1/2" at the top for sure data.