That adapter is not made by Brosson company but by Nilfisk-Alto who make all Festool vacuum cleaner accessories. In Europe Festool now also sells this adapter under their own name. Part number
768135
But that adapter will not solve Arkells' problem because it is made for use with the 27mm port on tools, but not for the wand of the cleaning kit.
The hose that come with the CT36E AC in America is the hose that is meant for use with the Planex drywall sander. Arkell, do you have the Planex sander?
The sleeve on this hose has a bunch of nubs which connect with the planex. These same nubs get in the way when you want to use the cleaning kit.
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The only way to be able to use the cleaning kit with the hose is to get rid of these nubs. There are 3 ways I can think of:
1 - If you have the planex you will have to keep using this nubbed sleeve, so the only way to be also able to use the cleaning kit is to get an extra hose, either a 36 or 27mm.
2 - If you don't have the planex you could replace the sleeve on the hose for the
standard D36 sleeve which will work fine with the cleaning kit.
3 - Not sure about this, but might work: If you don't want to spend extra money on a new sleeve, cut the nubs off and perhaps it will also fit the cleaning kit. But doing so would make the sleeve less suited for the Planex.