Is it true that is the word ain't in the webster dictionary based on the following text?

The strong prescription against ain't in standard English has led to many misconceptions, often expressed jocularly (or ironically), as ''ain't ain't a word'' or ''ain't ain't in the dictionary.'' Ain't is listed in most dictionaries, including the Oxford Dictionary of English and Merriam-Webster. However, Oxford states ''it does not form part of standard English and should never be used in formal or written contexts'', and Merriam-Webster states it is ''widely disapproved as non-standard and more common in the habitual speech of the less educated''.
yes