Vaccine passports or vaccines in general are not the mark of the beast.

The mark of the beast is taken with the full understanding that you are following satan. You must declare this to receive the mark. You have to denounce God. This is clear as day in the Bible. Taking a vaccine (which there is no way I personally will) to protect yourself or someone else (supposedly) is nothing close to taking the mark. You will know it is the mark of satan and it will be your choice to take it. Spoiler-God wins. I would pass if I were you.