When determining the P2P dependencies, only use dependencies of type project. This prevents us from migrating a package dependency as a project dependency because of a project with the same name being present.

TestAssets/NonRestoredTestProjects/AppWithProjectDependencyAsTarget/TestApp/Program.cs

@@ -0,0 +1,12 @@
+using System;
+
+namespace ConsoleApplication
+{
+    public class Program
+    {
+        public static void Main(string[] args)
+        {
+            Console.WriteLine("Hello World!");
+        }
+    }
+}