Sorry, couldn't resist
Are you sure you can't just get a better applicator ? As I see it you will need not only need 3 axis of movement, so we are talking PC, control software, driver electronics, motor's, linear rails of some description but also some kind of metering for the glue distribution, and to make it worth it in terms of speed some kind of job changer - electronic control to interface to the PC to run the job change logic, the list kinda keeps goin on...
I hate to be a naysayer (spelling?), and don't know what kind of units per minute you want to do, but seems a little complicated way to do something simple.
Of course if you are talking serious volume then all of this may be justified, can you give us any idea of the numbers ?
You could skip the PC control and program a PLC or Microcontroller to control the electronics, but this means learning to code or paying someone to setup the logic or program.