The Navy’s moves against the Houthis mirrors the sea service's Middle East operations in the 1980s.
The Navy destroyed dozens of Houthi drones and missiles in February during a relentless month of engagements with the militant group.
The four crew members were allegedly onboard a dhow during a seizure mission in which two Navy SEALs died earlier this year.
The Pentagon acknowledged an American MQ-9 Reaper drone went down recently in the Red Sea amid an ongoing battle with Houthi militants in the region.
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