How many clicks to "buy now at amazon" button?

On one of our platforms, we only sell via Amazon, so instead of “Shop Now” button, we have “Buy now at Amazon.” When someone is ready for purchase, they click the item they want, then his “Buy now at Amazon” and then are taken to the Amazon listing page and finish payment and shipping details through Amazon.

Is there a way to count the number of times the “Buy now…” button is clicked before they are taken to Amazon?