Yes the chain is зоомагазини "Д-р Стефанов". But the name of the shops is Нечовеши магазини. Look for images of Нечовеши магазини, and than the description in the osm wiki for names: "As a rule of thumb, the primary name is the most obvious name of the feature, the one that end users expect data consumers to expose in a label or other interface element.

The usual sources of primary names are:

The most prominent name on a sign posted on the feature itself, especially for a feature in the built environment"

https://zoomagazin.bg/magazini