WASHINGTON — The Republican-led House on Tuesday narrowly rejected a push to impeach Defense Secretary Pete Hegseth over how he has carried out the war in Iran and other military hostilities in Yemen, Venezuela and the Caribbean.

The vote was 211-204 to send the impeachment resolution to committee, effectively killing the effort. Even vocal GOP critics of Hegseth said they didn’t think that the secretary’s action rose to the level of “high crimes and misdemeanors.”

The impeachment resolution was authored by Rep. Thomas Massie, R-Ky., a fierce critic of Hegseth and President Donald Trump; both helped oust Massie in his GOP primary race earlier this year.…