redirect button on 2 woocommerce sites

I have 2 shops setup, they sell many of th same products. One is for US and one is for Canada.

I would like to add a button on the product pages that allows a customer to quickly jump over to the same product on the other site as sometimes they aren’t caught by my geo-redirect plugin. Or they come in via a direct link and this would save them having to go to their country site and search for the product there.

So basically I want to add a button on each product page that when clicked takes them to the same URL but for the other shop domain, for example:

When visiting this product
https://www.mysite.ca/shop/high-fired-vitaclay-smart-organic-multicooker-8-cup/

There would be a button to jump over to the US site and would point to:

https://www.mysite.us/shop/high-fired-vitaclay-smart-organic-multicooker-8-cup/

Any ideas?