I don't think Mbappe will ever be on Barcelona's radar. Currently, the Blaugrana almost have a mature squad with unstable financial conditions. I think the arrival of Gundogan is enough to complete the Barca squad to return to control of La Liga. Osimhen could be the right option if Xavi wants to add strength to his attack line, but the price is too high, of course the team from Catalan cannot afford it.
Yes, it doesn't make sense for Mbappe to be on Barcelona's wanted list, this is impossible because Barca are in a bad financial condition. In addition to the several sanctions received recently, Barca must comply with the transfer market policy. I think Barca is a club with an extraordinary mentality in this regard, with the financial situation and the squad in need of rejuvenation they can still win La Liga. Utilizing big names and recruiting players with free transfer status is a good policy, so you avoid sanctions.
Next season I think Barcelona will still be the favorites to win with Madrid, Munich and Man City and Inter Milan in the Champions League. In La Liga, of course Real Madrid and ATM are the toughest competitors, on the other hand if they succeed there will be a new contract extension for Xavi and in his coaching career he will follow in the footsteps of Pep Guardiola.
transfer rumors regarding Mbappe are always associated with teams that have not too bad finances so Barcelona will not be linked with Mbappe because the price is too expensive and for now Barcelona is recruiting new players in the transfer market for free without taking the risk of buying new players with slightly high price.
btw, I'm not sure if this summer Barcelona is still the favorite whereas from the changes in the line-up it looks like Real Madrid has the upper hand this summer unless Rea Madrid has other goals like last season when chasing the champions league cup and not too focused on La Liga. and I think for the champions league later Barcelona will not be easy to continue the match.