In a manner that shows willingness to work together with others.
From 'cooperating' (present participle of cooperate) + '-ly' (adverb-forming suffix). This is a layered construction: cooperate + -ing + -ly, following standard English adverb formation patterns.
This adverb is pleasingly specific—it doesn't just mean 'together,' but describes the *manner* in which cooperation happens, capturing that willing, helpful attitude. It's the kind of word you might find in 19th-century diplomatic letters describing how nations negotiated.
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