Removed conflicts_with stanza for emacs-app cask (incl. beta / pretest)

[flindeberg]

Important: Do not tick a checkbox if you haven’t performed its action. Honesty is indispensable for a smooth review process.

After making any changes to a cask, existing or new, verify:

• The submission is for a stable version or documented exception.
• brew audit --cask --online <cask> is error-free.
• brew style --fix <cask> reports no offenses.

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This RP removes the conflicts_with-stanzas from emacs-app, emacs-app@nightly and emacs-app@pretest casks.

[flindeberg]

Hms, I'll a look at fixing this later. Casks not updated since recent requirement change if I understand correctly.

emacs-app
  * Artifact defined :monterey as the minimum macOS version but the cask declared no minimum macOS version

[daeho-ro]

They are having all same app names, and so conflicts. Why are you removing this?

[flindeberg]

The 'conflicts_with' stanza is deprecated. As such brew spews warnings while updating / installing / etc eMacs-app.

[p-linnane]

The 'conflicts_with' stanza is deprecated. As such brew spews warnings while updating / installing / etc eMacs-app.

No, conflicts_with formula was deprecated. Please post whatever warnings you're seeing.