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"Carefully" is an adverb.
carefully is an adverb because it is said before doing any work. and this defines that the work must be done very watchfully or guarded . and an adverb is a word or phrase that modifies or qualifies an adjective, verb, or other adverb or a word group, expressing a relation of place, time, circumstance, manner, cause, degree, etc.

so careful is an adverb....