The man is said to be the first to open fire on federal border police officers as they searched for a criminal suspect on Tuesday, local time.
The officers then allegedly returned fire, injuring the man. His condition is said to be serious but stable.
It is the latest in a series of high-profile shootings involving federal police in the United States, including the fatal shootings of mother-of-three Renee Nicole Good and nurse Alex Pretti.
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