The steps taken by Real Madrid are very appropriate not to be too hasty to catch up to Mbappe and it is better for Real Madrid to just watch the problem get over first. I think that even if Real Madrid came now to get Mbappe it would really make PSG a little arrogant and also of course they would not hesitate to increase the transfer fee for Mbappe because at the moment only Real Madrid can afford Mbappe. But if Real Madrid are patient enough to wait until next year, they won't spend a penny on Mbappe and that's where PSG will really feel the loss and regret it.
I think PSG will let Mbappe go in this transfer window so if Real madrid want to wait for Mbappe to end his contract next season that will never happen. On the one hand, Psg bought Mbappe at a fairly high price before so they don't want to lose Mbappe for nothing in the coming season. So, Real Madrid should be able to see the opportunities that exist to make an offer this month or next month if Real Madrid are really serious about getting Mbappe.
PSG management certainly hopes that Mbappe will not leave this summer and he must also sign a new contract extension. However, behind his good attitude PSG was not well received by Mbappe, so speculation arose about Mbappe's future in this transfer window. I hope Real Madrid can take a serious approach to Mbappe.