The People's Liberation Army tracked and monitored a United States warship that transited the Taiwan Strait on Tuesday, a military spokesperson said on Tuesday afternoon.

Senior Colonel Shi Yi, spokesperson for the PLA's Eastern Theater Command, said in a statement that the missile destroyer USS John Finn transited the Taiwan Strait and publicly hyped its passage.

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"The theater command organized naval and air forces to track and monitor the entire process, handling it in accordance with laws and regulations," he said.

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"The theater command troops always maintain a high state of alert, ready to respond to all threats and provocations at any time," the spokesman warned.