chore: remove homebrew publish instructions from release steps

dev/release/README.md

@@ -311,47 +311,8 @@ Verify that the Cargo.toml in the tarball contains the correct version
 
 ### Publish datafusion-cli on Homebrew
 
-Run `publish_homebrew.sh` to publish `datafusion-cli` on Homebrew. In order to do so it is necessary to
-fork the `homebrew-core` repo https://github.com/Homebrew/homebrew-core/, have Homebrew installed on your
-macOS/Linux/WSL2 and properly configured and have a Github Personal Access Token that has permission to file pull requests in the `homebrew-core` repo.
-
-#### Fork the `homebrew-core` repo
-
-Go to https://github.com/Homebrew/homebrew-core/ and fork the repo.
-
-#### Install and configure Homebrew
-
-Please visit https://brew.sh/ to obtain Homebrew. In addition to that please check out https://docs.brew.sh/Homebrew-on-Linux if you are on Linux or WSL2.
-
-Before running the script make sure that you can run the following command in your bash to make sure
-that `brew` has been installed and configured properly:
-
-```shell
-brew --version
-```
-
-#### Create a Github Personal Access Token
-
-To create a Github Personal Access Token, please visit https://docs.github.com/en/authentication/keeping-your-account-and-data-secure/creating-a-personal-access-token for instructions.
-
-- Make sure to select either **All repositories** or **Only selected repositories** so that you have access to **Repository permissions**.
-- If you only use the token for selected repos make sure you include your
-  fork of `homebrew-core` in the list of repos under **Selected repositories**.
-- Make sure to have **Read and write** access enabled for pull requests in your **Repository permissions**.
-
-After all of the above is complete execute the following command:
-
-```shell
-dev/release/publish_homebrew.sh <version> <github-user> <github-token> <homebrew-default-branch-name>
-```
-
-Note that sometimes someone else has already submitted a PR to update the datafusion formula in homebrew.
-In this case you will get an error with a message that your PR is a duplicate of an existing one. In this
-case no further action is required.
-
-Alternatively manually submit a simple PR to update tag and commit hash for the datafusion
-formula in homebrew-core. Here is an example PR:
-https://github.com/Homebrew/homebrew-core/pull/89562.
+[`datafusion` formula](https://formulae.brew.sh/formula/datafusion) is [updated automatically](https://github.com/Homebrew/homebrew-core/pulls?q=is%3Apr+datafusion+is%3Aclosed),
+so no action is needed.
 
 ### Call the vote