[Docs] Remove Homebrew references (elastic#83578)

Author: bytebilly

docs/reference/setup/important-settings/path-settings.asciidoc

@@ -13,7 +13,7 @@ deletion during an upgrade.
 
 In production, we strongly recommend you set the `path.data` and `path.logs` in
 `elasticsearch.yml` to locations outside of `$ES_HOME`. <<docker,Docker>>,
-<<deb,Debian>>, <<rpm,RPM>>, and <<brew,macOS Homebrew>> installations write
+<<deb,Debian>>, and <<rpm,RPM>> installations write
 data and log to locations outside of `$ES_HOME` by default.
 
 Supported `path.data` and `path.logs` values vary by platform:

docs/reference/setup/install.asciidoc

@@ -47,13 +47,6 @@ downloaded from the Elastic Docker Registry.
 +
 {ref}/docker.html[Install {es} with Docker]
 
-`brew`::
-
-Formulae are available from the Elastic Homebrew tap for installing
-{es} on macOS with the Homebrew package manager.
-+
-{ref}/brew.html[Install {es} on macOS with Homebrew]
-
 include::install/targz.asciidoc[]
 
 include::install/zip-windows.asciidoc[]
@@ -63,5 +56,3 @@ include::install/deb.asciidoc[]
 include::install/rpm.asciidoc[]
 
 include::install/docker.asciidoc[]
-
-include::install/brew.asciidoc[]

docs/reference/setup/install/brew.asciidoc

@@ -27,13 +27,6 @@
             tabindex="-1">
       macOS
     </button>
-    <button role="tab"
-            aria-selected="false"
-            aria-controls="brew-tab-logs"
-            id="brew-logs"
-            tabindex="-1">
-      Brew
-    </button>
     <button role="tab"
             aria-selected="false"
             aria-controls="linux-tab-logs"
@@ -90,17 +83,6 @@ include::logging.asciidoc[tag=rpm]
 
 include::logging.asciidoc[tag=mac]
 
-++++
-  </div>
-  <div tabindex="0"
-       role="tabpanel"
-       id="brew-tab-logs"
-       aria-labelledby="brew-logs"
-       hidden="">
-++++
-
-include::logging.asciidoc[tag=brew]
-
 ++++
   </div>
   <div tabindex="0"
@@ -126,4 +108,4 @@ include::logging.asciidoc[tag=win-zip]
 ++++
   </div>
 </div>
-++++
+++++

docs/reference/tab-widgets/logging-widget.asciidoc

@@ -20,11 +20,6 @@ recommend you set `path.logs` to a location outside of `$ES_HOME`.
 See <<path-settings>>.
 // end::mac[]
 
-// tag::brew[]
-For <<brew,macOS Homebrew>> installations, {es} writes logs to
-`/usr/local/var/log/elasticsearch`.
-// end::brew[]
-
 // tag::linux[]
 For <<targz,Linux `.tar.gz`>> installations, {es} writes logs to
 `$ES_HOME/logs`.