根据BBC的报道，只有Wagner fighters 参加了对Soledar的战役

In the reported statement late on Tuesday, Mr Prigozhin said: "Wagner units took control of the entire territory of Soledar. A cauldron has been formed in the centre of the city in which urban fighting is going on."

The statement stressed that only Wagner fighters - who are not part of the Russian armed forces - were taking part "in the storming" of Soledar.

https://www.bbc.com/news/world-europe-64219979