And we get that from Acts whose purpose was to smooth things over. But the reift continued. Neither Peter nor any other Apostle testitifed to that. The only source of that is either Paul or Luke (or whoever wrote Acts) who was following Paul.
1 Peter specifically tries to mend that rift, and 1 Peter was written long after Peter was dead, towards the end of the 1st century.
Oh please -- give it up. If that were so it would have been called "I Dead Peter".