No, it is not an adverb. Part is a noun, or a verb. There are adverb forms for in part (partly) and the adjective partial (partially).
adverb
Nearly is an adverb, not part of one.
"Ever" is an adverb.
Softly is an adverb.
adverb
Adverb
Adverb
NO!!! It is part of the verb 'To do'.
An adverb is part Of the predicate if following a verb
Supposedly is an adverb.
Steadily is an adverb.
adverb