make rich progress bars write to stderr

Author: cosmicexplorer

src/pip/_internal/cli/progress_bars.py

@@ -13,6 +13,7 @@
     Type,
 )
 
+from pip._vendor.rich.console import Console
 from pip._vendor.rich.live import Live
 from pip._vendor.rich.panel import Panel
 from pip._vendor.rich.progress import (
@@ -88,7 +89,7 @@ def _rich_progress_bar(
         total = size
         columns = _known_size_columns()
 
-    progress = Progress(*columns, refresh_per_second=5)
+    progress = Progress(*columns, console=Console(stderr=True), refresh_per_second=5)
     task_id = progress.add_task(_progress_task_prefix(), total=total)
     with progress:
         for chunk in iterable:
@@ -327,7 +328,7 @@ def __enter__(self) -> "BatchedRichProgressBar":
                 padding=(0, 0),
             )
         )
-        self._live = Live(table, refresh_per_second=5)
+        self._live = Live(table, console=Console(stderr=True), refresh_per_second=5)
         self._task_progress.start_task(self._total_task_id)
         self._progress.start_task(self._total_bytes_task_id)
         self._live.__enter__()