It's similar a bit to Summer savory, but definitely, it's not and it has a different shape, scent. It is grows crawling rather than standing up as Rosemary does. The leaves are rather small, Rosemary ones are twice as big. It is a thyme variaty? For sure it is not oregano. I've used plant identification at identify.plantnet.org but with no good results.
The remains of the flowers look like this
New images with starting flowers
Is it Thymus serpyllum (Breckland thyme) , Thymus praecox , Thymus pulegioides or Thymus longicaulis ?
Fully in flower neighbouring oregano and rosemary on the right with busy bees :