How do I access a 3rd party custom toolbar command?

Hey, thanks for stopping by...

I have a 3rd party web app that luanches MS Word (I know this is Excel forum, but it should be the same and this was the first forum my corporate firewall would allow me to access).

It creates a single "commit" button in the custom toolbar under Add-Ins. I need to be able to move this button to the "Home" toolbar. Obviously this isn't possible but I'm hoping there is a way I can create my own macro that will access the "commit" button. The option to move it to the QAT isn't sufficient because it is still a two-click process (my users don't like change lol).

Is this possible in anyway?

I've tried enumerating the comandbars but I couldn't see anything that was under the custom toolbars only the menu commands.