Ha if it was that easy they would do it, but what you mention here is something that they have been quarreling with for quite a while now. They are still hoping for some younger talents from their own youth to finally tackle the challenge and make it into the first team of Bayern Munich. That would save them a lot of money and there wouldn't be the urgency all the time to do something about their offensive problems. But there is no Thomas Muller right now in their youth teams. Muller was the discovery of the year back then when Louis van Gaal gave him a chance. But the business has become too fast and you can't be patiently waiting for a talent to emerge from your own youth teams, you have to solve them problem immediately with cash. The chances for young talents from the own youth teams are also vanishing as they don't have time to prove they could be worth a try.
Actually talking about current talent there is one that can be looked at for next season like now they will try to maximize Ryan Gravenberch or Musiala but indeed this is back again they are only midfielders trying to improve the quality of attacks but there is still no striker who can be used as benchmark in this case.
As you said buying with money is a short way to do it but until now they haven't done that yet and their focus is still on Kane. I was expecting other options but until now when talking about strikers Bayern still seem to be focused on Kane and when that doesn't work it will be a bit of a problem.
There is again something in the making around Kane and this time it has been officially confirmed by Bayern that they sent an offer to Tottenham trying to transfer Kane for €70 million. But so far it seems that Tottenham refused the offer although Bayern and Kane have agreed upon the terms for a contract. That is what the news say but it is worthless as long as Tottenham doesn't agree to sell him for €70 million. Bayern knows that they don't have that many options to fix that problem now but I can see how Bayern is struggling to pay more for Kane. He isn't young anymore and the closer they get to the 100 million for this transfer, the higher the risk if course. If he gets injured, it would be a horrible situation for them as they would be in the same situation again.
Because indeed 70 million will not be looked at considering Tottenham's condition is still the same as only wanting to release 100 million+ for a Kane.
But there is an interesting thing now that the 70 million bid rejected is reportedly now Bayern back off the hunt for Kane and looking for other alternatives at this time.
Don't know if this is just their push and pull plan or if this is really the end of the Bayern and Kane drama but right now there are some reports suggesting they are trying to approach Osimhen for a new target.
Although it is said in this case it looks like it will be more difficult because Bayern only dared to pay 100 million for Osimhen even though looking at the current conditions Napoli opened an offer of 180 million for this player.
I don't know, but it looks like this offer is just playing, especially considering PSG have prepared 150 million for Osimhen if Mbappe really leaves this season.