You've been given bad info...here are the details, which are quite stringent...

AI Overview

No, the 2024 Senate immigration bill (the Emergency National Security Supplemental Appropriations Act) did not have a limit or allowance of 5,000 immigrants or illegal entries per day.

How the 5,000 Figure Actually Worked

• Migrant Encounters, Not Releases: The 5,000 number referred to a Border Emergency Authority trigger based on migrant "encounters" (instances where Border Patrol stops someone trying to cross), not a quota of people allowed to enter or stay.
• Mandatory Closure Trigger: The bill would have required the Department of Homeland Security to close the border and summarily expel migrants if daily border encounters exceeded an average of 5,000 per week (or 8,500 in a single day).
• Discretionary Closure: The Homeland Security Secretary would have had the discretion to use emergency expulsion powers once encounters hit a weekly average of 4,000.
• Goal of the Mechanism: Rather than permitting 5,000 people to enter, the trigger was designed to shut down standard processing and turn away crossers when volume crossed that threshold
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I'll get back to you later on this with anymore concerns you have.