Surveillance video shows the robbery in Oakdale in Suffolk County.
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It shows the man walking up to the house, taking the flag, and running away.
It happened back on July 4 at around 4 a.m.
The suspect was described as a white male approximately 6-foot-2.
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Suffolk County Crime Stoppers offers a cash reward of up to $5,000 for information that leads to an arrest.
Anyone with information about this incident can contact Suffolk County Crime Stoppers to submit an anonymous tip by calling 1-800-220-TIPS, texting "SCPD" and your message to "CRIMES" (274637) or by email at www.tipsubmit.com.
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