By Caitlin Yilek Politics Reporter Caitlin Yilek is a politics reporter at CBSNews.com, based in Washington, D.C. She previously worked for the Washington Examiner and The Hill, and was a member of the 2022 Paul Miller Washington Reporting Fellowship with the National Press Foundation. Read Full Bio Updated on: April 29, 2026 / 10:53 PM EDT / CBS News Add CBS News on Google Washington — The House on Wednesday adopted a Senate-approved budget plan, the first step in a strategy that would allow Republicans to fund federal immigration agencies through the rest of President Trump's term without the help of Democrats. Senate Republicans unveiled and adopted the budget blueprint last week. Republicans are trying to meet Mr. Trump's June deadline to fund Immigration and Customs Enforcement and Border Patrol, and end the funding lapse that has shut down the Department of Homeland Security since February. The resolution cleared the House in a 215 to 211 vote.…