@Julia-and-Tarkan0-  if you are already a co-host somewhere, you can remove yourself from those properties:
https://www.airbnb.ca/help/article/1633/how-do-i-remove-myself-as-a-co-host
 
Then you "unlist" your co-host profile.  Navigate to Edit profile (for your host profile) and along the left side you will see a selection for "view co-host profile".  From the next page, select "edit".  There is a selection on that page that says "Choose your profile visability" with a drop down box.  Select "unlisted".  Your profile will no longer be searchable by hosts looking for co-hosts.