I think Harry Kane is going to sign a new contract at Totthenham and won't go anywhere.What I see here is just a game plan by Kane to make the board sign more quality players that will make the team more stronger.They haven't won any trophy for a long time,and it's enough reason to frustrate any player putting in his effort to make that team move forward.Harry Kane has been very consistent in terms of goal scoring and I see him as the best striker in the premier league.If Kane were to be in a team like Mancity where they have all the best players,he will definitely score more goals than Haaland. Therefore,I don't think any move to either PSG or Bayern will materialise this season,and if a deal should happen,it depends on the kind of signings their new coach makes this season.
Your last two sentences sound like a good reason why he should leave Tottenham though in my opinion. Also the last news that i heard about that possible transfer of Harry Kane to Munich was that interview of Uli Hoeneß in which he said that Kane and his agents have said, that he wants to come to Bayern Munich. So i really doubt that the Team around Kane is just using Bayern Munich to be in a better position to negotiate a new contract with Tottenham. This would mean that Kane and his agents have straight up lied to the officials of Bayern Munich and i just can not imagine that they would do that kind of stuff.