gh-138899: fix sys.ps1 in asyncio repl (#138900)

Lib/asyncio/__main__.py

@@ -113,6 +113,7 @@ def run(self):
                     run_multiline_interactive_console,
                 )
                 try:
+                    sys.ps1 = ps1
                     run_multiline_interactive_console(console)
                 except SystemExit:
                     # expected via the `exit` and `quit` commands

Misc/NEWS.d/next/Library/2025-09-15-08-57-39.gh-issue-138899.Uh6fvY.rst

@@ -0,0 +1,3 @@
+Executing ``quit`` command in :mod:`pdb` will raise :exc:`bdb.BdbQuit` when
+:mod:`pdb` is started from an asyncio console using :func:`breakpoint` or
+:func:`pdb.set_trace`.