Hi,
I’m sorry I have not understood your question. First, I am not sure what gift card plugin you are using. Hence I can’t comment on compatibility with it.
In the plugin’s settings Coupons tab, you can choose to require some coupons i.e. only check min/max amounts if these coupons are used. You can also choose to exclude some coupons i.e. skip min/max amount checks if these coupons are applied.
There is also an exclude all option, where it can simply skip the min/max amount checks if any coupon is applied.
If you are trying to somehow automate inclusion/exclusion with your gift card plugin, it may not work.