Hi Scott,
You should see the following in the project if you open it in a text editor:
<Import
Project="$(Registry:HKEY_LOCAL_MACHINE\SOFTWARE\ESRI\ArcGISRuntimeSDKNET10.2.4@InstallDir)ideintegration\ArcGISRuntime.targets"
Condition="Exists('$(Registry:HKEY_LOCAL_MACHINE\SOFTWARE\ESRI\ArcGISRuntimeSDKNET10.2.4@InstallDir)ideintegration\ArcGISRuntime.targets')" />
<Target Name="ESRI_ArcGISRuntime_Deployment_ErrorIfTargetsMissing" BeforeTargets="PrepareForBuild;PrepareForClean">
<PropertyGroup>
<ErrorText>This project references the ArcGIS .NET Deployment build tasks targets file, but the file was missing. This may be because the SDK is not installed.</ErrorText>
</PropertyGroup>
<Error Text="$([System.String]::Format('$(ErrorText)'))" Condition="!Exists('$(Registry:HKEY_LOCAL_MACHINE\SOFTWARE\ESRI\ArcGISRuntimeSDKNET10.2.4@InstallDir)ideintegration\ArcGISRuntime.targets')" />
</Target>
There should be two elements related to adding support for building the arcgis deployment to the project output folder.
One is the Import element which uses the MSBUILD syntax for reading values from the registry. It has a condition to prevent the project load from failing, but this isnt working in your instance.
The other is an Error element that should show an error when you attempt to compile the project.
Do you have the registry value in your registry? It should be there by virtue of the 10.2.4 SDK being installed.
HKEY_LOCAL_MACHINE\SOFTWARE\ESRI\ArcGISRuntimeSDKNET10.2.4@InstallDir