Can the new 2016 MacBook Pro 13" without Touch Bar drive a 4K display? I currently have an old MacBook Pro 15" Retina from 2012, driving two monitors, a 24" 4K monitor and a 21.5" 1080p monitor.

This setup works, except for one catch - the 4k monitor refreshes at 30Hz, which makes it a bit laggy.

I was thinking of getting the new MacBook Pro 13" base model with 2 Thunderbolt/USB-C ports. Since I have 2 external monitors I figure I need the USB-C to Power + USB + USB-C adapter too.

Given I get these, will I be able to now drive my primary 4K display at 60Hz?
From the Video Support section of the Tech Specs for the 2016 13" MacBook Pro:


  Simultaneously supports full native resolution on the built-in display at millions of colors and:
  
  One display with 5120-by-2880 resolution at 60Hz at over a billion
  colors
  
  Up to two displays with 4096-by-2304 resolution at 60Hz at over a
  billion colors
  
  Thunderbolt 3 digital video output
  
  Native DisplayPort output over USB‑C
  
  VGA, HDMI, and Thunderbolt 2 output supported using adapters (sold
  separately)