Best iPhone 13 mini thinnest case but with a good non slip feel?

Looking for suggestions for:

• The thinnest and minimal possible iPhone 13 mini case
• Has to have a nice texture (almost carbon fiber) for a good non-slip grip feel
• Don't care about front glass lip protection and almost prefer it to be smooth with a screen protector on so my fingers don't scrape side to side when swiping

I know pitaka has good ones, but they are just too expensive and the latest 13 mini cutouts have a front glass lip