I believe you need to convert the cookies to the format that BAS understands, and then import them into BAS using a standard method.
Take a look:
https://chromedevtools.github.io/devtools-protocol/tot/Network/#type-Cookie
https://chromewebstore.google.com/detail/i-still-dont-care-about-c/edibdbjcniadpccecjdfdjjppcpchdlm
https://chromewebstore.google.com/detail/popupoff-popup-and-overla/ifnkdbpmgkdbfklnbfidaackdenlmhgh
but it's not accepting button, just closing the popups, so if you will find something better, post it here
@basuser123 is it possible to install extension in bas? Cos it mostly fails