It's a high-stakes week for Joe Biden as he fights to keep his campaign alive. He hosted NATO's 75th anniversary summit in Washington amid concerns about his run for the White House. Meanwhile, the Republican National Convention is less than one week away and Donald Trump has yet to announce his VP pick. Also, Trump is reportedly planning to try to block hearings for his federal elections case until after the November vote. Hans Nichols, Molly Jong-Fast, Leigh Ann Caldwell, Hugo Lowell, Andrew Weissmann, Matthew Dowd, and Daniel Squadron join.

President Biden hosted his first press conference since the debate against former President Trump and made it clear he will not exit the 2024 presidential race. Meanwhile, Trump continues his attempts to distance himself from Project 2025 as he meets with Hungary's authoritarian leader, Viktor Orban. Plus, a positive sign for the U.S. economy, as wages begin to surpass inflation. Peter Baker, Carol Leonnig, Jon Allen, Jeff Mason, Stuart Stevens, Ryan Teague Beckwith, Jennifer Palmieri, Dan Nathan, and Ron Insana join The 11th Hour.