[threading] IJPL-189603: Wrap modal dialogs into write-intent on higher level

(cherry picked from commit 0ed5718adb7d433e82f76009fb561e65c0320bd1)

IJ-CR-164268

GitOrigin-RevId: 02ac7c4e995bb77110105b02af4d8cbbf6783d57

Author: knisht

platform/platform-impl/src/com/intellij/openapi/ui/impl/DialogWrapperPeerImpl.java

@@ -12,6 +12,7 @@
 import com.intellij.openapi.application.AccessToken;
 import com.intellij.openapi.application.Application;
 import com.intellij.openapi.application.ApplicationManager;
+import com.intellij.openapi.application.WriteIntentReadAction;
 import com.intellij.openapi.application.impl.AppImplKt;
 import com.intellij.openapi.application.impl.LaterInvocator;
 import com.intellij.openapi.command.CommandProcessor;
@@ -468,7 +469,13 @@ public CompletableFuture<?> show() {
       AccessToken ignore2 = lockCleanup;
       AccessToken ignore3 = lockContextCleanup
     ) {
-      myDialog.show();
+      if (!isProgressDialog()) {
+        WriteIntentReadAction.run((Runnable) () -> {
+          myDialog.show();
+        });
+      } else {
+        myDialog.show();
+      }
     }
     finally {
       if (changeModalityState) {