The Daily Wire was once ascendant in right-wing media. Now, the “anti-woke” company faces contentious layoffs, ideological battles and dwindling relevance online.The conservative media company Daily Wire was once a star of the MAGA digital universe, dominating social media feeds and podcast apps with a blend of “anti-woke” commentary, viral Facebook posts and culture-war stunts. In the run-up to the 2020 presidential election, the company co-founded by conservative pundit Ben Shapiro ranked as Facebook’s top English-language publisher for three straight months. Its sarcastic news items on then-House Speaker Nancy Pelosi’s salon visits gained millions more views than the websites of...