[Gradle, Wasm] Compatible wasm distribution task with configuration cache

^KT-64851 fixed

libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/kotlin/org/jetbrains/kotlin/gradle/WasmConfigurationCacheIT.kt

@@ -51,4 +51,17 @@ class WasmConfigurationCacheIT : KGPBaseTest() {
             }
         }
     }
+
+    @DisplayName("Browser case works correctly with configuration cache")
+    @GradleTest
+    @GradleTestVersions(minVersion = TestVersions.Gradle.G_7_6)
+    fun testBrowser(gradleVersion: GradleVersion) {
+        project("wasm-browser-simple-project", gradleVersion) {
+            assertSimpleConfigurationCacheScenarioWorks(
+                "assemble",
+                buildOptions = defaultBuildOptions,
+                executedTaskNames = listOf(":compileKotlinWasmJs", ":wasmJsBrowserDistribution")
+            )
+        }
+    }
 }

libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/wasm-browser-simple-project/build.gradle.kts

@@ -0,0 +1,16 @@
+plugins {
+    id("org.jetbrains.kotlin.multiplatform")
+}
+
+repositories {
+    mavenLocal()
+    mavenCentral()
+}
+
+kotlin {
+    wasmJs {
+        binaries.executable()
+        browser {
+        }
+    }
+}

libraries/tools/kotlin-gradle-plugin-integration-tests/src/test/resources/testProject/wasm-browser-simple-project/src/wasmJsMain/kotlin/A.kt

@@ -0,0 +1,8 @@
+/*
+ * Copyright 2010-2023 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+fun main() {
+    println("Hello, world")
+}