1. with close attention to even the smallest details
The correct option would be:
1. with close attention to even the smallest details
The correct answer is 1. "with close attention to even the smallest details." The word "minutely" is used as an adverb here, modifying the verb "examined." It means that she carefully and meticulously examined the costume, paying attention to even the smallest details. To determine the correct answer, it is important to understand the meaning and usage of the word "minutely" in this context. The other options, such as "for a minute" or "piece by piece, minute by minute," do not accurately convey the intended meaning in the sentence. Option 4, "casually," is the opposite of the intended meaning, as it suggests a lack of attention or care.