Will my Mac run Mojave?

According to Apple, these models of the Mac Pro are compatible:

Mac Pro (Late 2013; Mid 2010 and Mid 2012 models with recommended Metal-capable graphics cards)

I hope this is helpful. :)

If you want more info, go here:

https://support.apple.com/kb/SP777?locale=en_US

See: macOS Mojave - Technical Specifications

Note this line…

Mac Pro (Late 2013; Mid 2010 and Mid 2012 models with recommended Metal-capable graphics cards)