I'm not sure Paris Saint Germain will be able to do that, because they are a team that when they want a player they will do everything they can to do it, including spending a lot of money to bring in that player. The financial power they have encourages them to do that, even though we think it is something excessive, but they don't care as long as they can get what they want.
We can remember that when they wanted to keep Mbappe, they even gave this player big privileges and they didn't care about that. I think they will continue to do the same things to get what they want. Even though they have to spend a lot of money and it's not actually worth it. However, we'll see how things develop, because currently we have only heard rumors and in fact they have not made a specific approach to bringing Julian Alvarez to Paris Saint Germain.
There's always a reason PSG gets to do that which they do that always looks like they are doing everything possible just to keep or get a player signed into the team, remember when they had to bring in messi and Neymar, they still had mbappe in the team as at that time, and then it looked like they were spending too much but the goal and target was to get a chance at winning the champions league so they taught that by getting those players in their team, winning the champions league looks more achievable, they are very much settled with the fact that they can almost always win the Ligue 1 title but for the champions league.
The bid of wanting to win the champions league even if it's once has always made PSG not mind investing so much in signing of players and even coach when needed, asides the champions league I doubt if PSG will be willing to spend such money just to win the Ligue 1 title almost every season when they know there's a bigger and more prestigious title ahead that they can win by the end of the season if they are in the very good form required of them to be able to contend and win those teams ahead of them.