Collins says "cheerfully" has three meanings happily, unthinkingly, and unhesitatingly It seems that in the sense of "happily" or "unhesitatingly," the word "cheerfully" works as a VP adverb, while used in the sense of "unthinkingly" the same word now functions as a sentence adverbWhat is an Adverb?Filtred list of similar words for Cheerfully is here
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