Bayern Munich should start with bringing a solid centre-forward first. Until then they will still be lacking an important player in the attacking line. It isn't the kind of a job that they can do with Mane or Choupo-Moting in this position. They tried this last season but failed after that. Even their winning the Bundesliga title was by chance thanks to Dortmund's huge mistake. If they had a centre-forward like Lewandowski they could have had a much more comfortable run in the Bundesliga and they could have been stronger in the Champions League.
They have made a start by making their first offer for Kane though but this was quite below the price Tottenham wanted for him. Kane or someone else they should solve this problem in the summer.
Harry Kane is Bayern Munich choice for a centre-forward position and negotiations may be ongoing. Even though the first offer was rejected by Tottenham, I'm sure Bayern Munich won't just give up on getting Harry Kane. Choupo moting might be eliminated if Bayern Munich gets Harry Kane in this season's transfer window.
Tuchel will continue to monitor a number of potential players that they will bring in to strengthen the team next season. But for now, only Harry Kane is being focused on by Bayern Munich after they managed to get Kim.
Bayern Munich is indeed quite famous for its ambition to be able to get the players it is targeting. Harry Kane will definitely meet the club's needs if he succeeds in joining Bayern Munich, but indeed sometimes things that they should be able to get at a reasonable cost but have to be blocked by the high prices desired by the club owners and Spurs here are indeed quite difficult for the players who will leave with a very high offer.
Even if Bayern Munich really wants Harry Kane, at least they have to spend more than 100 million euros and it's not a secret anymore if we look at the character of the Spurs owner. Kim Min Jae has indeed been confirmed to have joined Bayern Munich and for the current defense line it is quite safe even though Lucas Hernandez has finally joined PSG.