Gitlab Pages - disable cookie?

Hi,
I created a simple website with Hugo template on gitlab pages at gitlab.com (not custom instance). I would like to disable cookies in that subpage, but all nginx config is available to root only.

Is there something I can put to gitlab-ci.yml or any other place in the repo or in settings to stop sending .gitlab.com cookie to this sub-website? I don’t want to do cookie banner, and I don’t need any analytics.

Kind regards