How to exclude a particular cookie for a particular browser

Sorry if this has already been asked and answered, but I did search the forums pretty extensively.

I'm trying to exclude a particular cookie from being erased, but only for a particular browser (i.e., Chrome). I want the cookie from the same site erased when stored by Firefox. Is this possible?

Whenever I exclude the cookie I want after having only visited that site with Chrome, once I visit the same site with Firefox, Firefox's cookie will automatically be excluded -- I don't want this.

Any known workaround?

Not that I can think of, except for cleaning one browser, updating the ignore list and then clean the other one.

Yup there is not a way to do this