[JS Tests] Prepare JS tests for testing backend diagnostics

- Introducing a backend diagnostic handler.
 - Moving JS diagnostic tests from test-common to
   js.test to avoid circular module dependencies.

^KT-61886 Fixed

compiler/tests-for-compiler-generator/tests/org/jetbrains/kotlin/test/generators/GenerateJUnit3CompilerTests.kt

@@ -9,7 +9,6 @@ import org.jetbrains.kotlin.asJava.AbstractCompilerLightClassTest
 import org.jetbrains.kotlin.cfg.AbstractControlFlowTest
 import org.jetbrains.kotlin.cfg.AbstractDataFlowTest
 import org.jetbrains.kotlin.cfg.AbstractPseudoValueTest
-import org.jetbrains.kotlin.checkers.AbstractDiagnosticsTestWithJsStdLibAndBackendCompilation
 import org.jetbrains.kotlin.cli.AbstractCliTest
 import org.jetbrains.kotlin.codegen.*
 import org.jetbrains.kotlin.codegen.defaultConstructor.AbstractDefaultArgumentsReflectionTest
@@ -53,10 +52,6 @@ fun generateJUnit3CompilerTests(args: Array<String>, mainClassName: String?) {
 
     generateTestGroupSuite(args, mainClassName) {
         testGroup("compiler/tests-gen", "compiler/testData") {
-            testClass<AbstractDiagnosticsTestWithJsStdLibAndBackendCompilation> {
-                model("diagnostics/testsWithJsStdLibAndBackendCompilation")
-            }
-
             testClass<AbstractMultiPlatformIntegrationTest> {
                 model("multiplatform", extension = null, recursive = true, excludeParentDirs = true)
             }

compiler/tests-for-compiler-generator/tests/org/jetbrains/kotlin/test/generators/GenerateJUnit5CompilerTests.kt

@@ -35,10 +35,6 @@ fun generateJUnit5CompilerTests(args: Array<String>, mainClassName: String?) {
                 model("diagnostics/tests/javac", pattern = "^(.*)\\.kts?$", excludedPattern = excludedCustomTestdataPattern)
             }
 
-            testClass<AbstractDiagnosticsTestWithJsStdLib> {
-                model("diagnostics/testsWithJsStdLib", excludedPattern = excludedCustomTestdataPattern)
-            }
-
             testClass<AbstractDiagnosticsTestWithJvmIrBackend> {
                 model(
                     "diagnostics/testsWithJvmBackend",