MT 800 BB which tool do I need??

Bought a Shimano MT800 BB. Yes it comes with a little plastic adapter because the external BB cups are smaller, but I want a socket type tool and I’m stumped.

I did order one at the same time as the BB, which stated it was 16 notch. Now its arrived, I can see it does indeed have 16 notches but is also too big (fits 44mm BB’s)

So which not to expensive socket type external cup BB adapter do I need for a Shimano MT800 BB

Thank you

A 41mm tool such as Park Tool bb59.2

https://www.wiggle.co.uk/lifeline-pro-bb-removal-tool-1641-bbr60

This wan

Cheers. Lifeline one it is