First, head to the cloudflare app, then click preview, and change typical.design to whichever website you want to go to, and all traffic should proxy through cloudflare
This may have issues in some browsers failing a security check, this isn't a full proxy but, since it's made by cloudflare it should be less blocked
If you have UBlock Origin, you can add www.cloudflare.com##.is-mobile-active-view.install-page-form-panel to your filter lists and block the left side so it will be fullscreen