Final answer:
The correct definition that is most likely intended is Intransitive definition 2b.
Step-by-step explanation:
The correct definition that is most likely intended in the given sentence is Intransitive definition 2b. In this context, 'browse through' means to look over or through an aggregate of things casually, especially in search of something of interest. The sentence suggests allowing the person to casually look at the sandals and inform the speaker when they want to try something on.
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