I'm not really a European but I'm close enough I guess (Turkish). The closest supermarket to me is less than a hundred meters away, with 3 others available in a 250m radius around my home.
3km walk in this weather sounds like hell to be honest. You could use a grocery delivery service though if you have one available in your country.
I think Chromium based browsers had something where you'd need to open the homepage of the search engine (https://noai.duckduckgo.com/ in this case), right click on the URL in the address bar, and then click "Add search engine name". Not sure if that still works though.