diff --git a/Library/Homebrew/cask/artifact/abstract_uninstall.rb b/Library/Homebrew/cask/artifact/abstract_uninstall.rb
index 5147475a77..2635bd79d1 100644
--- a/Library/Homebrew/cask/artifact/abstract_uninstall.rb
+++ b/Library/Homebrew/cask/artifact/abstract_uninstall.rb
@@ -160,9 +160,15 @@ module Cask
 
       sig { returns(String) }
       def automation_access_instructions
+        navigation_path = if MacOS.version >= :ventura
+          "System Settings → Privacy & Security"
+        else
+          "System Preferences → Security & Privacy → Privacy"
+        end
+
         <<~EOS
           Enable Automation access for "Terminal → System Events" in:
-            System Preferences → Security & Privacy → Privacy → Automation
+            #{navigation_path} → Automation
           if you haven't already.
         EOS
       end
@@ -371,8 +377,14 @@ module Cask
           rescue Errno::EPERM
             raise if File.readable?(File.expand_path("~/Library/Application Support/com.apple.TCC"))
 
+            navigation_path = if MacOS.version >= :ventura
+              "System Settings → Privacy & Security"
+            else
+              "System Preferences → Security & Privacy → Privacy"
+            end
+
             odie "Unable to remove some files. Please enable Full Disk Access for your terminal under " \
-                 "System Preferences → Security & Privacy → Privacy → Full Disk Access."
+                 "#{navigation_path} → Full Disk Access."
           end
         end
       end
diff --git a/Library/Homebrew/cask/dsl/caveats.rb b/Library/Homebrew/cask/dsl/caveats.rb
index f34a55cea5..eaf45d0284 100644
--- a/Library/Homebrew/cask/dsl/caveats.rb
+++ b/Library/Homebrew/cask/dsl/caveats.rb
@@ -58,10 +58,16 @@ module Cask
       caveat :kext do
         next if MacOS.version < :high_sierra
 
+        navigation_path = if MacOS.version >= :ventura
+          "System Settings → Privacy & Security"
+        else
+          "System Preferences → Security & Privacy → General"
+        end
+
         <<~EOS
           #{@cask} requires a kernel extension to work.
           If the installation fails, retry after you enable it in:
-            System Preferences → Security & Privacy → General
+            #{navigation_path}
 
           For more information, refer to vendor documentation or this Apple Technical Note:
             #{Formatter.url("https://developer.apple.com/library/content/technotes/tn2459/_index.html")}
@@ -71,10 +77,10 @@ module Cask
       caveat :unsigned_accessibility do |access = "Accessibility"|
         # access: the category in the privacy settings the app requires.
 
-        navigation_path = if MacOS.version < :ventura
-          "System Preferences → Security & Privacy → Privacy"
-        else
+        navigation_path = if MacOS.version >= :ventura
           "System Settings → Privacy & Security"
+        else
+          "System Preferences → Security & Privacy → Privacy"
         end
 
         <<~EOS
diff --git a/Library/Homebrew/os/mac/xcode.rb b/Library/Homebrew/os/mac/xcode.rb
index 39deb1052a..c10ac14397 100755
--- a/Library/Homebrew/os/mac/xcode.rb
+++ b/Library/Homebrew/os/mac/xcode.rb
@@ -318,7 +318,9 @@ module OS
 
       sig { returns(String) }
       def update_instructions
-        software_update_location = if MacOS.version >= "10.14"
+        software_update_location = if MacOS.version >= "13"
+          "System Settings"
+        elsif MacOS.version >= "10.14"
           "System Preferences"
         else
           "the App Store"
diff --git a/Library/Homebrew/test/support/fixtures/cask/everything.json b/Library/Homebrew/test/support/fixtures/cask/everything.json
index 9ac6b3d522..4accb46a89 100644
--- a/Library/Homebrew/test/support/fixtures/cask/everything.json
+++ b/Library/Homebrew/test/support/fixtures/cask/everything.json
@@ -73,7 +73,7 @@
       ]
     }
   ],
-  "caveats": "Installing everything might take a while...\n\neverything requires a kernel extension to work.\nIf the installation fails, retry after you enable it in:\n  System Preferences → Security & Privacy → General\n\nFor more information, refer to vendor documentation or this Apple Technical Note:\n  https://developer.apple.com/library/content/technotes/tn2459/_index.html\n",
+  "caveats": "Installing everything might take a while...\n\neverything requires a kernel extension to work.\nIf the installation fails, retry after you enable it in:\n  System Settings → Privacy & Security\n\nFor more information, refer to vendor documentation or this Apple Technical Note:\n  https://developer.apple.com/library/content/technotes/tn2459/_index.html\n",
   "depends_on": {
     "cask": [
       "something"
diff --git a/docs/Cask-Cookbook.md b/docs/Cask-Cookbook.md
index c096a442fc..9ed5ed0090 100644
--- a/docs/Cask-Cookbook.md
+++ b/docs/Cask-Cookbook.md
@@ -386,8 +386,8 @@ The following methods may be called to generate standard warning messages:
 | `reboot`                           | Users should reboot to complete installation.
 | `files_in_usr_local`               | The cask installs files to `/usr/local`, which may confuse Homebrew.
 | `discontinued`                     | All software development has been officially discontinued upstream.
-| `kext`                             | Users may need to enable their kexts in *System Preferences → Security & Privacy → General*.
-| `unsigned_accessibility`           | Users will need to re-enable the app on each update in *System Preferences → Security & Privacy → Privacy* as it is unsigned.
+| `kext`                             | Users may need to enable their kexts in *System Settings → Privacy & Security* (or *System Preferences → Security & Privacy → General* in earlier macOS versions).
+| `unsigned_accessibility`           | Users will need to re-enable the app on each update in *System Settings → Privacy & Security* (or *System Preferences → Security & Privacy → Privacy* in earlier macOS versions) as it is unsigned.
 | `license "web_page"`               | Users may find the software's usage license at `web_page`.
 | `free_license "web_page"`          | Users may obtain an official license to use the software at `web_page`.