[KAPT] Setup KaptJavaLog writers during initialization.

Migrate KaptJavaLog to not used deprecated constructor in newer JDKs and instead set up the writers during initialization. This enables us to get rid of KaptJavaLog17.

Fixes KT-54030

plugins/kapt3/kapt3-compiler/testData/kotlinRunner/Log.it.txt

@@ -0,0 +1,16 @@
+import java.lang.System;
+
+@kotlin.Metadata()
+public final class Dummy {
+
+    public Dummy() {
+        super();
+    }
+}
+
+////////////////////
+
+package error;
+
+public final class NonExistentClass {
+}

plugins/kapt3/kapt3-compiler/testData/kotlinRunner/Log.kt

@@ -0,0 +1 @@
+class Dummy