Add mixed installation detection and warning to dotnet --info

Co-authored-by: baronfel <[email protected]>

Author: Copilot

src/Cli/Microsoft.DotNet.Cli.Utils/LocalizableStrings.resx

@@ -188,4 +188,13 @@ dotnet tool install --global {1}</value>
   <data name="DotnetWorkloadInfoLabel" xml:space="preserve">
     <value>.NET workloads installed:</value>
   </data>
+  <data name="MixedInstallWarningTitle" xml:space="preserve">
+    <value>Warning: Mixed-Mode Installation Detected</value>
+  </data>
+  <data name="MixedInstallWarningMessageLinux" xml:space="preserve">
+    <value>The dotnet executable being used is from a global install location ({0}), but the DOTNET_ROOT environment variable is set to a different location ({1}). This can cause unexpected behavior. For more information, see: {2}</value>
+  </data>
+  <data name="MixedInstallWarningMessageOther" xml:space="preserve">
+    <value>The dotnet executable being used is from a global install location ({0}), but the DOTNET_ROOT environment variable is set to a different location ({1}). This indicates a PATH ordering problem. Please ensure that the directory containing the desired dotnet executable appears first in your PATH.</value>
+  </data>
 </root>