Runner macos-13-arm64 20231024.2: ModuleNotFoundError: No module named 'distutils'

Describe the bug
Our builds started to fail with error ModuleNotFoundError: No module named 'distutils'.

This error occurs in macos-13-arm64 v20231024.2 images. There were no issues with previous images including the v20231017.1

To Reproduce
Create a workflow which installs the appdmg@0.6.6 npm package.

- name: setup appdmg
  run: npm install -g appdmg@0.6.6

Run the workflow on macos-13-xlarge runner. It will use the macos-13-arm64 20231024.2 which breaks existing workflows.

Expected behavior
The appdmg@0.6.6 would install normally as on previous images.

Runner Version and Platform

Version of your runner? 2.311.0

OS of the machine running the runner? macOS

What's not working?

npm ERR! code 1
npm ERR! path /opt/homebrew/lib/node_modules/appdmg/node_modules/macos-alias
npm ERR! command failed
npm ERR! command sh -c node-gyp rebuild
npm ERR! gyp info it worked if it ends with ok
npm ERR! gyp info using node-gyp@9.4.0
npm ERR! gyp info using node@18.18.2 | darwin | arm64
npm ERR! gyp info find Python using Python version 3.12.0 found at "/usr/local/bin/python3"
npm ERR! gyp http GET https://nodejs.org/download/release/v18.18.2/node-v18.18.2-headers.tar.gz
npm ERR! gyp http 200 https://nodejs.org/download/release/v18.18.2/node-v18.18.2-headers.tar.gz
npm ERR! gyp http GET https://nodejs.org/download/release/v18.18.2/SHASUMS256.txt
npm ERR! gyp http 200 https://nodejs.org/download/release/v18.18.2/SHASUMS256.txt
npm ERR! gyp info spawn /usr/local/bin/python3
npm ERR! gyp info spawn args [
npm ERR! gyp info spawn args   '/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/gyp/gyp_main.py',
npm ERR! gyp info spawn args   'binding.gyp',
npm ERR! gyp info spawn args   '-f',
npm ERR! gyp info spawn args   'make',
npm ERR! gyp info spawn args   '-I',
npm ERR! gyp info spawn args   '/opt/homebrew/lib/node_modules/appdmg/node_modules/macos-alias/build/config.gypi',
npm ERR! gyp info spawn args   '-I',
npm ERR! gyp info spawn args   '/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/addon.gypi',
npm ERR! gyp info spawn args   '-I',
npm ERR! gyp info spawn args   '/Users/runner/Library/Caches/node-gyp/18.18.2/include/node/common.gypi',
npm ERR! gyp info spawn args   '-Dlibrary=shared_library',
npm ERR! gyp info spawn args   '-Dvisibility=default',
npm ERR! gyp info spawn args   '-Dnode_root_dir=/Users/runner/Library/Caches/node-gyp/18.18.2',
npm ERR! gyp info spawn args   '-Dnode_gyp_dir=/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp',
npm ERR! gyp info spawn args   '-Dnode_lib_file=/Users/runner/Library/Caches/node-gyp/18.18.2/<(target_arch)/node.lib',
npm ERR! gyp info spawn args   '-Dmodule_root_dir=/opt/homebrew/lib/node_modules/appdmg/node_modules/macos-alias',
npm ERR! gyp info spawn args   '-Dnode_engine=v8',
npm ERR! gyp info spawn args   '--depth=.',
npm ERR! gyp info spawn args   '--no-parallel',
npm ERR! gyp info spawn args   '--generator-output',
npm ERR! gyp info spawn args   'build',
npm ERR! gyp info spawn args   '-Goutput_dir=.'
npm ERR! gyp info spawn args ]
npm ERR! Traceback (most recent call last):
npm ERR!   File "/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/gyp/gyp_main.py", line 42, in <module>
npm ERR!     import gyp  # noqa: E402
npm ERR!     ^^^^^^^^^^
npm ERR!   File "/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/gyp/pylib/gyp/__init__.py", line 9, in <module>
npm ERR!     import gyp.input
npm ERR!   File "/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/gyp/pylib/gyp/input.py", line 19, in <module>
npm ERR!     from distutils.version import StrictVersion
npm ERR! ModuleNotFoundError: No module named 'distutils'
npm ERR! gyp ERR! configure error 
npm ERR! gyp ERR! stack Error: `gyp` failed with exit code: 1
npm ERR! gyp ERR! stack     at ChildProcess.onCpExit (/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/lib/configure.js:325:16)
npm ERR! gyp ERR! stack     at ChildProcess.emit (node:events:517:28)
npm ERR! gyp ERR! stack     at ChildProcess._handle.onexit (node:internal/child_process:292:12)
npm ERR! gyp ERR! System Darwin 22.6.0
npm ERR! gyp ERR! command "/opt/homebrew/Cellar/node@18/18.18.2/bin/node" "/opt/homebrew/Cellar/node@18/18.18.2/lib/node_modules/npm/node_modules/node-gyp/bin/node-gyp.js" "rebuild"
npm ERR! gyp ERR! cwd /opt/homebrew/lib/node_modules/appdmg/node_modules/macos-alias
npm ERR! gyp ERR! node -v v18.18.2
npm ERR! gyp ERR! node-gyp -v v9.4.0
npm ERR! gyp ERR! not ok

Reproduce the workflow with npm install -g appdmg@0.6.6 on the macos-13-arm64 v20231024.2 image and inspect the reported node-gyp and Python versions. Trace why distutils is unavailable during the macos-alias build; done means the package installs successfully on that image as it did on the previous image.