[Build] Enable checks of the build tools API on CI

At the moment, the only check is the binary compatibility check
#KT-58479 Fixed

build.gradle.kts

@@ -771,6 +771,7 @@ tasks {
         dependsOn(":native:kotlin-klib-commonizer-api:test")
         dependsOn(":kotlin-tooling-core:check")
         dependsOn(":kotlin-tooling-metadata:check")
+        dependsOn(":compiler:build-tools:kotlin-build-tools-api:check")
     }
 
     register("examplesTest") {