mysql package is not install but "brew list" still see it

[quantrpeter]

brew doctor output

mysql package is not install but "brew list" still see it


/Users/peter>brew list |grep mysql
mysql
[email protected]
/Users/peter>brew list mysql      
Error: No such keg: /usr/local/Cellar/mysql
/Users/peter>brew remove mysql
Error: No such keg: /usr/local/Cellar/mysql

### Verification

- [X] My "`brew doctor` output" above says `Your system is ready to brew.` and am still able to reproduce my issue.
- [X] I ran `brew update` twice and am still able to reproduce my issue.
- [X] This issue's title and/or description do not reference a single formula e.g. `brew install wget`. If they do, open an issue at https://github.com/Homebrew/homebrew-core/issues/new/choose instead.

### `brew config` output

```shell
HOMEBREW_VERSION: 4.4.0
ORIGIN: https://github.com/Homebrew/brew
HEAD: 84c31175f11860129a9aaed40a13c549625e2db1
Last commit: 2 days ago
Core tap JSON: 03 Oct 08:03 UTC
Core cask tap JSON: 03 Oct 08:03 UTC
HOMEBREW_PREFIX: /usr/local
HOMEBREW_CASK_OPTS: []
HOMEBREW_DISPLAY: /private/tmp/com.apple.launchd.MFgsSL8mfs/org.xquartz:0
HOMEBREW_MAKE_JOBS: 8
Homebrew Ruby: 3.3.5 => /usr/local/Homebrew/Library/Homebrew/vendor/portable-ruby/3.3.5/bin/ruby
CPU: octa-core 64-bit skylake
Clang: 14.0.0 build 1400
Git: 2.46.2 => /usr/local/bin/git
Curl: 8.7.1 => /usr/bin/curl
macOS: 12.7.6-x86_64
CLT: 14.2.0.0.1.1668646533
Xcode: 14.2

What were you trying to do (and why)?

trying to list installed package and i see mysql, but it is not installed

What happened (include all command output)?

brew list | grep mysql

What did you expect to happen?

nothing

Step-by-step reproduction instructions (by running brew commands)

/Users/peter>brew list |grep mysql
mysql
[email protected]
/Users/peter>brew list mysql      
Error: No such keg: /usr/local/Cellar/mysql
/Users/peter>brew remove mysql
Error: No such keg: /usr/local/Cellar/mysql

[carlocab]

What's the output of brew doctor? And ls -la $(brew --cellar)?