TeamCity can't locate any artifacts after a build

I have a build in TeamCity which runs against a project file names Web.csproj (inside a "Web" folder in the root) and targets "Package". It runs just fine and I get a nice Web\obj\Debug\Package folder with all the expected content.

I then have a second build with an artifact dependency on the above path which is intended to run the deploy command. However, no matter what I do I always get a "Failed to download artifact dependency" error message followed by "No files matched for pattern "Web/obj/Debug/Package"". Even if I set the artifacts path to just ** and try to pull everything from the root, it fails. Looking on the server, there are clearly files in the working directory.

Does anyone have any guidance for troubleshooting this?