"without exaggeration"

Literally literally

"widely accepted"

Yeah, no. People who use it incorrectly simply don't understand language or meaning. Just because there's a lot of people who misuse the word doesn't mean it's widely accepted. A lot of people believe in a god, doesn't make it true.

Or just stop widely accepting the dual meaning.

"Actually" and "truly" and probably a few other synonyms already exist.

I would argue that, uses of literally, in the literal sense, in common language, is rarely used, any more. Mostly because, If you have to add "believe me" at the end of your sentence, it makes you seem sus. And "literally", in common language, is usually added to the end, in the same way, the sarcastic, and facetious, presentations use. So we've adopted different signifiers, mostly, anyway. People usually say, "you are not going to believe what happened to me today ". Even the sarcastic etc uses are dying out, in a time when, extreme positions aren't, easily taken at face value for being over the top, or, easily definable as sarcasm etc, which is what sarcasm relies heavily on. I think, all the extreme stuff going on, is making it almost impossible to even use literally, in almost either application. I'm sad! It's such a fun word to say.

I think we just need to be cutting off the fingers of dictionary editors one by one until they turn it back the way it should be.

"Exactly". "Truly". "Literally, in the traditional sense not the post modern sense where it means emphatically or figuratively"

Configulatory

"widely accepted' by me and my douche teenage friends

People just put extra emphasis or say literally literally