Bashir said in DS9: “In Purgatory’s Shadow” that the Breen didn’t have blood, but considering they never took off their suits, how did he know that? And if they don’t have blood, how does circulation work?
There are animals that don’t have circulatory systems, but they’re usually of a very simple order like sponges, nematodes and flatworms for example.
So either the “fact” that the Breen have no blood is misinformation, or they have something else that substitutes for blood.
Some invertebrates have circulatory systems which carry hemolymph, a fluid made most of water and contains various substances like carbohydrates, lipids, amino acids, etc. It’s not blood, but it still serves a circulatory function.
There was also the stuff in this episode about "two faces," one of which they say they have evolved past (or whatever their phrasing was). The Breen of this time could be a little more complicated than the Breen of the DS9 era. I assume we'll learn more about what that's all about later this season.
I would posit that the Solid "face" Breen biology that L'ak is maintaining bleeds, while the transparent gelatinous one doesn't bleed, making the non-bleeding Breen the social norm.