Spurious warnings when trying to set up python 3.5 on ubuntu/macos #532

Description:
Trying to set up Python 3.5 on ubuntu or macos triggers the following warnings, which we can't do anything about:

• "You are using pip version 20.3.4, however version 22.3 is available. You should consider upgrading via the 'pip install --upgrade pip' command."
• "Cache entry deserialization failed, entry ignored" (twice, and only on macos).

Obviously Python 3.5 is EOL and having a warning about EOL would be entirely fine, e.g. that's what's happen when setting up Python 2.7 ("DEPRECATION: Python 2.7 will reach the end of its life on January 1st, 2020. Please upgrade your Python as Python 2.7 won't be maintained after that date. A future version of pip will drop support for Python 2.7. More details about Python 2 support in pip, can be found at https://pip.pypa.io/en/latest/development/release-process/#python-2-support"). But the warnings regarding pip and cache deserialization are just confusing.
At least the pip version warning could perhaps be suppressed via pip --disable-pip-version-check ...(?)

Action version: v4

Platform:

• Ubuntu
• macOS
• Windows

Runner type:

• Hosted
• Self-hosted

Tools version: 3.5.10

Repro steps:

name: build

on: [push, pull_request]

jobs:
  build:
    strategy:
      matrix:
        os: [macos-latest, ubuntu-latest, windows-latest]
        python-version: ["2.7", "3.0", "3.1", "3.2", "3.3", "3.4", "3.5", "3.6", "3.7", "3.8", "3.9", "3.10", "3.11"]
      fail-fast: false
    runs-on: ${{ matrix.os }}
    steps:
    - uses: actions/checkout@v3
    - uses: actions/setup-python@v4
      with:
        python-version: ${{ matrix.python-version }}

(see e.g. https://github.com/anntzer/gha-playground/actions/runs/3340491406)

Expected behavior:
No warning regarding pip or cache deserialization, possibly a warning regarding Python 3.5 being EOL.

Actual behavior:
Warnings regarding pip and cache deserialization.