Final answer:
The word that best matches 'besieging' is 'surrounding.'
Step-by-step explanation:
The best word that matches the word in italics, 'besieging,' is 'surrounding.' When customers are 'besieging' the counters, it means they are gathering around or encircling the counters, possibly in a crowded or overwhelming way. It does not imply knocking over, approaching, or attacking the counters.
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