pretty much! The commonwealth is what the British empire became, most former British colonies are members, and King Charles is its head, though most member states are republics now, and don't have him as their king. It's a mostly-cerrmonial political group that occasionally does things like promote trade or diplomacy
For a moment, I thought, this comment was in response to the Europe map someone else posted. There the answer would have been easy, of course: Eurovision. 🙃