So in other words, overthrowing the government isn't their goal. Their goal is:
"CU called on the SCGGC to cease all vaccine mandates, reemploy all employees terminated due to vaccination status, and rescind all fines imposed for non-compliance with public health orders"
The stuff about dissolving the government is what they want if those other things aren't done.
They were calling on the "SCGGC" to do those things, i.e. they were calling on unelected bodies to bypass the elected House (which, by the way, is currently a minority government and therefore is being held up with opposition support).
"CU called on the SCGGC to cease all vaccine mandates, reemploy all employees terminated due to vaccination status, and rescind all fines imposed for non-compliance with public health orders"
The stuff about dissolving the government is what they want if those other things aren't done.