Apparently you are claiming that angle PAQ exactly trisects angle BAD.
Did you try changing the rounding from 2 decimal places to, say, 4? You'll see that the 3 shown on the bottom line becomes 3.0017 (for the initial angle you used). It is not exact.
Are you aware that the trisection problem requires a provable construction, not just one that comes very close when measured? There is nothing particularly profound in what you have done here, except that it took a lot of work. And a provably exact trisection using standard tools has been proved to be impossible, so that is not worth the effort.