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 get an error like this. I've been researching for hours. I could not find a solution
I can't type @ character in BAS
https://www.youtube.com/watch?v=QkZsZEyGaxg
Try to use just Type
https://i.imgur.com/VEuR2gs.png