The applicant, Brooklyn Classic, filed to get a liquor license for 319 Frost St.
Residents said they have faced mounting problems with trucks by Cooper Park.
The city denied a group that has fought decades for the vacant property.
McCarren and other parks are about to be packed with mainly free events.
Neighbors spoke up at Tuesday's Community Board meeting.
Neighbors are protesting the barbecues that the Parks Department began installing this week.
Williamsburg residents are warring over barbecues in Cooper Park.
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