If you keep your phone's browser on private mode, this becomes a lot easier! (Long as you don't have any old bookmarks for that site.)
Combined with DuckDuckGo's !bang notation—since you no longer have autocomplete for visited sites—you can still get to useful places like wikipedia quickly.
Unfortunate side-effect is that by staying logged out everywhere, with no cookies, means you'll see every single "log in with gmail!", "use the app for a better experience" dark pattern popup, unless your adblocker covers annoyances.