Deactivate "Everyone Except External Users" on the SharePoint sites belonging to Public Teams

If, through the use of PowerShell, you deactivate the possibility to use the "Everyone Except External Users" group in the organization, does this mean that this group is also removed from the SharePoint sites that are connected to public Microsoft Teams?

What I wish to achieve is that even if a Microsoft Team is set to Public, I do not want everyone in the organization (Everyone except external users) to have Editor rights to the Team's files.