It happened just before 5 pm near Houston and Tenth avenues.
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The Kings County Sheriff's Office says 30-year-old Martin Natividad was pointing a handgun at people in a home.
Investigators say someone at the home intervened with Natividad, so he allegedly took off in a go-kart with 20 year old Jasmine Alvarez.
They were driving around the area when officials say the sheriff's office air unit saw Alvarez park the go-kart a few blocks away and run into a home.
The SWAT team was called out and eventually took both into custody.
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Authorities found a gun with several rounds of ammunition, which they say Natividad was spotted hiding under a tarp.
He has multiple felony convictions, including domestic violence.
Alvarez had three no-bail warrants issued for her arrest.
Both are now booked in jail.