That model does not support double or triple tap. The ones that do usually mention it prominently in the product description.
At the present time, I’m only aware of two models which will support double or triple tap.
The very newest version of the Z wave plus GE devices. Be aware that there was a previous version with the exact same model number which did not support it. So you need to verify when you buy it that it does what you want. Also, this model is so new that it keeps going out of stock and can be hard to find right now, although I expect that to change over the next few months.
Note that the older GE models that start with a 12 never had double tap.
The newest version that starts with a 14 has double tap, but not triple tap.
The Homeseer switches which have been out for about six months have both double tap and triple tap, so it sounds like that’s what you would be looking for for your particular use case.
Includes double-tap, triple-tap, press & hold event features* to trigger up to 6 different home automation events