I think Harry Kane is a much more advantageous option for Bayern Munich than the not-so-successful signing of Sadio Mane last season. Nevertheless, the Bayern Munich game model was sharpened by Lewandowski and Kane's style of play is much more reminiscent of a Polish player. Therefore, I think Munich will make every effort to sign the player.
Kane's transfer is still being so far from complete. The fees was the main cause why kane's transfer has not been finished. Bayern is also having several targets that must be completed.
Here are some transfers linked to the bayern.
Kane
Walker
szczesny
Juventus sporting director Cristiano Giuntoli is reportedly evaluating Bayern Munich’s interest in goalkeeper Wojciech Szczesny.
https://football-italia.net/bayern-munich-considering-move-for-juventus-goalkeeper-szczesny/Bayern has found a replacement for sommer once he decides to join in intermilan. Yann sommer has become the main target from intermilan to replace onana. That if bayern shall have completed at least 1 of those transfers.
The club shall make everything clear. Not a single one of those transfers has been completed yet. I think that there will be another player to be linked with bayern.
The rumor about mane is not finished yet. So many uncertain things around bayern at this moment.