I think PSG are too selfish and possible because their selfishness means they will lose Mbappe next season without getting anything, even though if PSG want to let Mbappe go this season they can get fresh funds to be able to bring in other players.
Sooner or later, Mbappe will definitely leave PSG and start his career with his new team, and I'm sure Mbappe really wants to join the Real Madrid team because it is possible for Mbappe to achieve everything in his football career with the Real Madrid team.
It's not too late for PSG to get fresh funds from the sale of Mbappe, as long as the transfer market hasn't closed there is still an opportunity for PSG to add to its account balance. Mbappe attitude of not showing good faith in the proposed new contract made PSG even more eager to let him go. Of course Mbappe will leave PSG, now Real Madrid and Liverpool are trying to sign him, if Real Madrid doesn't move quickly maybe Liverpool will be at the forefront of the hunt for Mbappe.
Real Madrid is more likely to sign Mbappe with the fee he's asking for. Liverpool might try, but may not be able to, because if they spend that much on one player, what happens to the other positions that need strenghtening.
French players have been strongly represented in the Spanish side for sometime now, like Benzema who just left, also Zidane a.k.a Zizu, who both played for and managed the club.
Harry Kane is linked to transfer to PSG too, but Real Madrid are in the bid too. Imagine the combo of Harry Kane and Mbappe, with Modric and his distinct pass accuracy. Unbeatable right? Just what I imagined.