Kane doesn't want to insist on his departure if there is no agreement between Bayern Munich and Tottenham. He actually wants to sign for Bayern Munich now but it isn't like his only option now. If this agreement doesn't happen then he is okay about waiting until the end of his contract to leave for free. As long as he has the kind of a signing he wants it doesn't look like he cares if it is now or in a year. Tottenham must be the one to be worried about this situation now. Levy's continuing to be stubborn will take them nowhere. He will have Kane for only one last season and that's it.
I still think that the necessary balance will be found and Kane will still move from Tottenham to Bayern Munich in this transfer window. Nevertheless, the age of a football player is short and it is better not to postpone the transition for another year. Ken is a wonderful age for a football player, but still not the same as Mbappe to painlessly wait another season.
I also feel that since negotiations are going on, an agreement will be found in this transfer window only. Bayern have matched 80m Euro + add ons in their second bid for Kane
[1] and Spurs value Kane over 100m Euro. I feel that with
pressure from Kane and
another improved bid to match 100m Euro with adds on + fixed fee, things will be agreed on at the end. Still I have slight doubts since it's Levy, Bayern has to deal with and he is really hard one in negotiations.
References :
[1] https://twitter.com/FabrizioRomano/status/1678064257001312260