The part of the sentence that identifies the adverb clause is unless I leave in the next five minutes.
This is known to be a group of words that act as an adverb in a sentence and it is often used to add some element to one's writing and it tells how or why things occur.
In the above case, The part of the sentence that identifies the adverb clause is unless I leave in the next five minutes as it is an adverbial clause of reasoning
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