From your error logs, you're using Python 3.9. The current Pygame release, 1.9.6 doesn't support Python 3.9. You have several options:
- Install and use Python 3.8, then
pip install pygame
should work.
- Install the Pygame 2 development version,
pip install pygame==2.0.0.dev14
, or pip install pygame --pre
to obtain the latest pre-release version.
- Try a third party pygame wheel from Christoph Gohlke, he offers pygame 1.9.6 linked against cpython39.