ci: add homebrew action and docs

[nitrocode]

what

• Add homebrew update action
• Add homebrew install instructions

why

• Show the community that action-docs is even easier to install on osx
• Keep the formula up to date

references

• Closes #666
• Depends on PR https://github.com/Homebrew/homebrew-core/pull/195773
• https://github.com/mislav/bump-homebrew-formula-action

[nitrocode]

@npalm please review

[npalm]

@nitrocode thanks, will merge the PR in an own branch to setup secrets and get it working.

[npalm]

@nitrocode tried the action, but did not got it working.

See https://github.com/npalm/action-docs/actions/runs/11764234621/job/32769405768

I get an unexpected 401. The token has repo and workflow acces. Any clue what the problem could be?

[npalm]

Moved the work to this PR, got it working

https://github.com/npalm/action-docs/pull/744