sudo-touchid: Service does not work after upgrade

This worked for me until some point recently, possibly due to an OS upgrade. I upgraded the package to see if that would fix things:

❯ brew install artginzburg/tap/sudo-touchid

Running `brew update --preinstall`...
==> Auto-updated Homebrew!
Updated 3 taps (homebrew/core, homebrew/cask and homebrew/services).
<snip>

sudo-touchid 0.2 is already installed but outdated (so it will be upgraded).
==> Downloading https://github.com/artginzburg/sudo-touchid/releases/download/0.3/sudo-touchid.sh
==> Downloading from https://objects.githubusercontent.com/github-production-release-asset-2e65be/389117398/ee
######################################################################## 100.0%
==> Upgrading artginzburg/tap/sudo-touchid
  0.2 -> 0.3 

==> Caveats
To restart artginzburg/tap/sudo-touchid after an upgrade:
  sudo brew services restart artginzburg/tap/sudo-touchid
Or, if you don't want/need a background service you can just run:
  /opt/homebrew/opt/sudo-touchid/bin/sudo-touchid
==> Summary
🍺  /opt/homebrew/Cellar/sudo-touchid/0.3: 5 files, 4.5KB, built in 1 second
==> Running `brew cleanup sudo-touchid`...
Disable this behaviour by setting HOMEBREW_NO_INSTALL_CLEANUP.
Hide these hints with HOMEBREW_NO_ENV_HINTS (see `man brew`).
Removing: /opt/homebrew/Cellar/sudo-touchid/0.2... (5 files, 3.4KB)
Warning: Directory not empty @ dir_s_rmdir - /opt/homebrew/Cellar/sudo-touchid/0.2

❯ sudo brew services start sudo-touchid

Password:
Warning: Taking root:admin ownership of some sudo-touchid paths:
  /opt/homebrew/Cellar/sudo-touchid/0.3/bin
  /opt/homebrew/Cellar/sudo-touchid/0.3/bin/sudo-touchid
  /opt/homebrew/opt/sudo-touchid
  /opt/homebrew/opt/sudo-touchid/bin
  /opt/homebrew/var/homebrew/linked/sudo-touchid
This will require manual removal of these paths using `sudo rm` on
brew upgrade/reinstall/uninstall.
/Library/LaunchDaemons/homebrew.mxcl.sudo-touchid.plist: service already bootstrapped
Bootstrap failed: 37: Operation already in progress
Error: Failure while executing; `/bin/launchctl bootstrap system /Library/LaunchDaemons/homebrew.mxcl.sudo-touchid.plist` exited with 37.

❯ sudo brew services stop sudo-touchid

Stopping `sudo-touchid`... (might take a while)
==> Successfully stopped `sudo-touchid` (label: homebrew.mxcl.sudo-touchid)

❯ sudo brew services start sudo-touchid
Warning: Taking root:admin ownership of some sudo-touchid paths:
  /opt/homebrew/Cellar/sudo-touchid/0.3/bin
  /opt/homebrew/Cellar/sudo-touchid/0.3/bin/sudo-touchid
  /opt/homebrew/opt/sudo-touchid
  /opt/homebrew/opt/sudo-touchid/bin
  /opt/homebrew/var/homebrew/linked/sudo-touchid
This will require manual removal of these paths using `sudo rm` on
brew upgrade/reinstall/uninstall.
==> Successfully started `sudo-touchid` (label: homebrew.mxcl.sudo-touchid)

After the above, sudo still requires my password. It appears the script has not changed the files in the expected ways:

❯ cat /etc/pam.d/sudo
# sudo: auth account password session
auth       sufficient     pam_smartcard.so
auth       required       pam_opendirectory.so
account    required       pam_permit.so
password   required       pam_deny.so
session    required       pam_permit.so

❯ cat /etc/pam.d/sudo.bak
2022/02/16 11:03:31 open /etc/pam.d/sudo.bak: no such file or directory

I tried uninstalling via brew (requiring manually removing /opt/homebrew/Cellar/sudo-touchid/{0.2,0.3}) but it’s the same result.

Manually running /opt/homebrew/opt/sudo-touchid/bin/sudo-touchid fixes the issue.