I have recently been digging into the "FANBOYS" concept and how "so," "yet," and "for" are not truly coordinating conjunctions in the same vein as the other four. Moreover, I have read that "so" and "yet" function similarly to conjunctive adverbs. If that's the case, is it acceptable to treat them like other adverbs and place them after a period/semicolon with a comma afterward? Or should they still only receive the typical FANBOYS treatment? For example:
He didn't want to come into work, so he said he was sick. (as a coordinator)
He didn't want to come into work, and so he said he was sick. (as an adverb alongside a coordinator)
He didn't want to come into work; so, he said he was sick. (as a conjunctive adverb)
I know the first is accepted as correct, but is either of the other two acceptable in a formal setting?