"Encounters" means they were apprehended. As for "they keep coming", of course they will. Without comprehensive reform, that will never stop. For all its faults, the US is still attractive to a lot of desperate people.

Yes, and apprehension means arrested

'U.S. authorities made more than 2 million immigration arrests along the southern border during the past 11 months, marking the first time annual enforcement statistics have exceeded that threshold, according to figures provided by senior Biden administration officials Monday.

In August, U.S. Customs and Border Protection detained 203,598 migrants crossing from Mexico, the latest figures show, putting authorities on pace to tally more than 2.3 million arrests during the government's 2022 fiscal year, which ends Sept. 30. The total, which includes some people apprehended more than once, far exceeds last year's record of more than 1.7 million arrests.'

texastribune.org - U s mexico border arrests record

Along with the desperate people entering America are criminals, gang members'well you know the list. Biden's open borders are making America unsafe. Just ask the people living along the border.
Comprehensive reform starts with Biden.