except for here where you're quite clearly mistaken.
https://time.com/4115060/apec-summit...-attire-obama/
here the image appears amongst others from APEC summits where there is a tradition of wearing traditional local costumes on the last day of the summit.
It isn't hard to find a better quality image where you can see UNMISTAKABLY that it is in fact a flower.
Apart from anything else - and I can't believe I have to point this out - if you were a member of a secret society that nobody else could know about - you almost certainly wouldn't release a load of photographs of you wearing a pair of pyjamas with the secret society logo emblazoned on them 50 times