
There were no reports of injuries among U.S. service personnel but an American civilian contractor died after suffering a "cardiac episode" while sheltering from the rockets, Pentagon spokesman John Kirby said in a statement.
"We cannot attribute responsibility at this time, and we do not have a complete picture of the extent of the damage," Kirby added. No group immediately claimed responsibility for the attack.
Last Thursday, U.S. forces carried out air strikes against facilities at a border control point in Syria used by Iranian-backed militias including Kata'ib Hezbollah and Kata'ib Sayyid al-Shuhada.
A Baghdad Operations Command official said Wednesday's attack had been launched from a location about eight km (five miles) from the base, which is in the westerly Anbar province.
Another Iraqi security source and a government official who spoke on condition of anonymity said the rockets had been launched from a point west of the nearby town of Baghdadi.
Despite a deterioration in security in some parts of the country, Pope Francis is due to begin a four-day visit to Iraq on Friday.
On Feb. 16, a rocket attack on U.S.-led forces in northern Iraq killed a civilian contractor and injured a U.S. service member.



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