In a way that confuses or perplexes; in a manner that is difficult to understand.
From 'baffle' + '-ing' (present participle) + '-ly' (adverb marker). This builds the adverbial form to describe how something is done in a confusing manner.
The word captures that moment when something doesn't make sense at first—like how magnets repel each other 'bafflingly' when you first encounter them, until you learn about opposite poles.
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