New phone trying to backup to the icloud what is already on the icloud

I just got the Iphone 13 pro max, I previously had the iphone 11 pro max. My phone has not backed up to the cloud since I got it stating that there is not enough room, however it is trying to backup photos, videos, etc. that are already on the cloud from my last phone. Any advice? I do not want to purchase more storage, just to back up photos and stuff that is already on there.