This issue will be helpful

This is a solution which worked for me :

• after installing docker via brew install --cask docker, you need to finish the installation by running the Docker application ( Docker.app) which has been added to your app folder.

• Then you will be able to use it in the command line / terminal

the hint was :

$ > brew reinstall --cask docker
==> Installing Cask docker
==> Moving App 'Docker.app' to '/Applications/Docker.app'

Hope it helps some

The issue described is that the docker command suddenly stopped being recognized by the system. The following steps resolved the issue:

Open the Docker Desktop application.
Navigate to the "Advanced" settings.
Locate the option labeled "Choose how to configure the installation of Docker's CLI tools."
Temporarily change the configuration setting to "User."
Afterward, revert the configuration setting back to "System."

These steps helped reconfigure the Docker CLI tools and restored the ability to use the docker command on the system.

I opened Homebrew/homebrew-cask#146078 specifically about this exact issue

For now, these workarounds seem to work:

First, run brew uninstall --formula docker --force. This is because the cask already comes with the CLI tools, just not in the right directory yet. So, you'd want to get rid of duplicates or possible conflicts. The command should also fix the error that occurs when trying to install the cask after having already installed the formula.

a) Open the app. Click on Troubleshoot (next to the Settings gear). Click Uninstall. Once you get the pop-up. Then, reopen the app. The setup page should appear. You can either keep it as System or pick User, both should work
b) In Settings -> Advances, Switch to User then back to System in the Sr (as in https://github.com/orgs/Homebrew/discussions/3471#discussioncomment-5748926 as well)