diff --git a/build.gradle.kts b/build.gradle.kts
index 33856b8..04ac20c 100644
--- a/build.gradle.kts
+++ b/build.gradle.kts
@@ -18,7 +18,7 @@ plugins {
 
 dependencies {
 	// List the 'library' projects
-	dokkatoo(projects.core)
+	// dokkatoo(projects.core)
 }
 
 // region Check the users of the project didn't forget to rename the group
diff --git a/app/build.gradle.kts b/gradle/templates/template-app/build.gradle.kts
similarity index 83%
rename from app/build.gradle.kts
rename to gradle/templates/template-app/build.gradle.kts
index 4ffb5d7..28177ee 100644
--- a/app/build.gradle.kts
+++ b/gradle/templates/template-app/build.gradle.kts
@@ -9,7 +9,7 @@ kotlin {
 	}
 
 	sourceSets.commonMain.dependencies {
-		implementation(projects.core)
+		implementation(projects.gradle.templates.templateLib)
 	}
 }
 
diff --git a/app/src/commonMain/kotlin/Main.kt b/gradle/templates/template-app/src/commonMain/kotlin/Main.kt
similarity index 100%
rename from app/src/commonMain/kotlin/Main.kt
rename to gradle/templates/template-app/src/commonMain/kotlin/Main.kt
diff --git a/core/README.md b/gradle/templates/template-lib/README.md
similarity index 100%
rename from core/README.md
rename to gradle/templates/template-lib/README.md
diff --git a/core/build.gradle.kts b/gradle/templates/template-lib/build.gradle.kts
similarity index 68%
rename from core/build.gradle.kts
rename to gradle/templates/template-lib/build.gradle.kts
index c4d6cac..8a39f63 100644
--- a/core/build.gradle.kts
+++ b/gradle/templates/template-lib/build.gradle.kts
@@ -38,3 +38,19 @@ library {
 		url.set("https://www.apache.org/licenses/LICENSE-2.0.txt")
 	}
 }
+
+// region Publication test
+// Even though this module is included in all repositories that import the Playground, we
+// don't want to always publish this template.
+
+val appGroup: String? by project
+
+if (appGroup != "dev.opensavvy.playground") {
+	tasks.configureEach {
+		if (name.startsWith("publish")) {
+			onlyIf("Publishing is only enabled when built as part of the Playground") { false }
+		}
+	}
+}
+
+// endregion
diff --git a/core/src/commonMain/kotlin/HelloWorld.kt b/gradle/templates/template-lib/src/commonMain/kotlin/HelloWorld.kt
similarity index 100%
rename from core/src/commonMain/kotlin/HelloWorld.kt
rename to gradle/templates/template-lib/src/commonMain/kotlin/HelloWorld.kt
diff --git a/core/src/commonTest/kotlin/HelloWorldTest.kt b/gradle/templates/template-lib/src/commonTest/kotlin/HelloWorldTest.kt
similarity index 100%
rename from core/src/commonTest/kotlin/HelloWorldTest.kt
rename to gradle/templates/template-lib/src/commonTest/kotlin/HelloWorldTest.kt
diff --git a/settings.gradle.kts b/settings.gradle.kts
index 3715a71..a7955ae 100644
--- a/settings.gradle.kts
+++ b/settings.gradle.kts
@@ -26,6 +26,6 @@ plugins {
 }
 
 include(
-	"app",
-	"core",
+	"gradle:templates:template-app",
+	"gradle:templates:template-lib",
 )