but I want this to be answered
I would not call it a figure of speech. This is rather an expression describing one's eagerness to reach a goal.
"Enthusiastically" is an adverb. It describes the manner in which an action is performed, indicating that it is done with enthusiasm or eagerness. Adverbs typically modify verbs, adjectives, or other adverbs, providing more detail about how something occurs.
A synonym for eagerness is enthusiasm.
That is the correct spelling for "eagerness" (enthusiasm).
part of speech
The part of speech for this particular word is a noun.
The part of speech for "answer" is a noun.
adverb
what part of speech is beneath
To anticipate can stand for "eagerness to know".
The part of speech for "explicit" is an adjective.
The part of speech for "twirl" is a verb.