If Liverpool succeeds in winning the Europa League then they will qualify for the Champions League playoffs. However, if Liverpool manages to finish in 1st to 3rd in the Premier League, they will automatically qualify for the Champions League group phase. Liverpool may appear to have a better performance than their rivals in the Europa League but I think becoming the European League champion is not that easy because AC Milan, Roma, and Bayer Leverkusen are opponents who could become obstacles for Liverpool. But first, they have to get rid of Atalanta, which is also not an easy opponent to beat.
Actually, I'm not too worried about getting rid of Atalanta in the UEL because for me Liverpool has a much better performance than Atalanta in terms of the performance of the Liverpool players who are much more superior when they have Moh Salah.
For me, Liverpool's toughest opponents in the UEL are just a few of the clubs you have mentioned, such as Leverkusen, Roma and Milan, which could get rid of Liverpool if Klopp doesn't use the right strategy or tactics.
If Liverpool fail in the UEL this season, at least Klopp's troops can still get tickets to the Champions League in the following season to finish in 2nd or 3rd position and be able to compete again in higher competitions.
The reason I say Liverpool can at least get 2nd or 3rd place is because it will definitely be very difficult to get 1st place as long as Manchester City still has reliable players.