You could have just got a PDF from AP's website and used Adobe Illustrator to cut out the AP logo. It's vectorized so you can just export that as a SVG and edit it to your liking.
If you just traced the AP logo then I would re-do it from a PDF source.
This is not the correct font, I've installed it and checked again. Although, I've uploaded the fond I made, only the letters Audemars Piguet can be used, when you use capital letters B and C you get the logo's. Font size is small but you can change that