Regarding Harry Kane and Bayern Munich, we know the case is not going to be solved by paying more money and regardless of the money, Bayern Munich have to pay for hiring this player. The main problem is Kane is very much loyal to his team Tottenham, also Tottenham said they are not going to sell to any teams including Bayern Munich.
If there is no agreement from one of the parties, of course any sale will not occur. This includes what you said because apart from Harry Kane who is still very much at home in the Premier League, he is also still very much at home at Tottenham. So it is very unlikely for any other team to get Harry Kane, unless there is a special change in the minds of the Tottenham management to make the deal happen even if not with Bayern Munich.
As quoted by journalist Ben Jacobs, that "Bayern Munich will test Daniel Levy's resolve with a better bid of around £80 million" for Kane. Spurs still intend to turn down any offers, but Bayern are prepared to apply further pressure on them. it seems, Thomas Tuchel is still determined to bring in the Striker they are after.
in addition, German reports claim he already has a deal in principle with Bayern. unfortunately, I doubt the legitimacy of the report from the German newspaper. even so, as I said before. I'm pretty sure Bayern will make a second offer to Spurs. and it seems that in the near future Bayern will launch their bid for Kane.
If, the Spurs remain adamant to defend it. I'm not sure if any club is willing to sign him for £100 million. so, if the report by Ben Jacobs is true. supposedly, both clubs are equally in profit. Bayern brought Kane to Bavaria, and in return Spurs got a decent price. Instead, Spurs will lose Harry Kane if they don't let him go in this summer's transfer window. because Kane's contract with Spurs will expire on June 30, 2024.
For Manchester United, I'm not sure, as the club's acquisition problems have made it difficult for Ten Hag to bring in the players he needs.