Mathematically, Newcastle have not passed the UCL because they still meet Leicester City, who are struggling to avoid relegation, and Chelsea, who could qualify for Man United or Liverpool.
From which mathematics do you express mate? Newcastle even has the capital to continue to defend itself in the top three standings, whose position is in the UCL zone. And the two teams that Newcastle still have to face are teams that are not so strong this season so that Newcastle's chances of settling in the top three in the standings are far greater than Manchester United, who actually still have to fight for victory in the remaining three matches.
Newcastle's next two match opponents are Leicester City and Chelsea. Although two renowned clubs of the Premier League, the performance of these two clubs is very poor this season. Chelsea are 11th in the points table and Leicester City are now in the relegation zone. The opposition is relatively weak and Newcastle will be favorites in both of these matches. Newcastle's players will win both matches if they are able to put in some consistent performances. My guess is we'll see a Newcastle side in the top 3 of the table at the end of the season unless something goes wrong. Newcastle points deserve a third place in the table. They have been very diligent this season.