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
I have cookies txt format
firzil_245@gmail.com>2022-01-28>{"cookies":[{"creation":{"day_of_month":"3","day_of_week":"6","hour":"15","millisecond":"922","minute":"25","month":"3","second":"18","year":"2022"},"domain":".gmail.com" and more
how to convert and restore with BAS ?