Good morning!
>>4945582>https://jisho.org/word/会-1>1: meeting; assembly; party>2: society; association; clubUsed in the names of many past-and-present Yakuza groups, along with another similar term "-gumi" or "組".
So it is another another collective term for her fans, but one which includes her as well, whereas "tatsunoko" is specifically the fans: i.e. Coco herself is not a "tatsunoko", but she is part of Kiryu-kai, specifically the Kaichou, or chairman, which uses the same "会".