### Tested versions

Godot Engine v4.2.stable.official.46dc27791

### System information

Windows 10

### Issue description

When exporting to web, Godot fails with this error in the console:

> scene/main/window.cpp:884 - Attempting to make child window exclusive, but the parent window already has another exclusive child. This window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->VBoxContainer@<!-- -->137/@<!-- -->AcceptDialog@<!-- -->411, parent window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559, current exclusive child window: /root/@<!-- -->EditorNode@<!-- -->17120/@<!-- -->Panel@<!-- -->13/@<!-- -->ProjectExportDialog@<!-- -->559/@<!-- -->ProgressDialog@<!-- -->17444

![a](https://github.com/godotengine/godot/assets/2000051/bf9d22aa-d3fe-4e11-bff6-c387e740fe90)

This happens for newly created empty projects.


### Steps to reproduce

1. Open the attached project (or create a new project).
2. Project->Export->Export All
3. Observe the console error.  No output files are generated.


### Minimal reproduction project (MRP)

[export_test.zip](https://github.com/godotengine/godot/files/13574810/export_test.zip)

debug_user = EDITOR_GET("export/android/debug_keystore_user");
				}
				if (debug_keystore.is_relative_path()) {
					debug_keystore = OS::get_singleton()->get_resource_dir().path_join(debug_keystore).simplify_path();
				}
				if (!FileAccess::exists(debug_keystore)) {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Code Signing"), TTR("Could not find keystore, unable to export."));
					return ERR_FILE_CANT_OPEN;
				}
				cmdline.push_back("-Pdebug_keystore_file=" + debug_keystore); 
				cmdline.push_back("-Pdebug_keystore_alias=" + debug_user); 
				cmdline.push_back("-Pdebug_keystore_password=" + debug_password); 
			} else {
				
				String release_keystore = p_preset->get_or_env("keystore/release", ENV_ANDROID_KEYSTORE_RELEASE_PATH);
				String release_username = p_preset->get_or_env("keystore/release_user", ENV_ANDROID_KEYSTORE_RELEASE_USER);
				String release_password = p_preset->get_or_env("keystore/release_password", ENV_ANDROID_KEYSTORE_RELEASE_PASS);
				if (release_keystore.is_relative_path()) {
					release_keystore = OS::get_singleton()->get_resource_dir().path_join(release_keystore).simplify_path();
				}
				if (!FileAccess::exists(release_keystore)) {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Code Signing"), TTR("Could not find keystore, unable to export."));
					return ERR_FILE_CANT_OPEN;
				}
				cmdline.push_back("-Prelease_keystore_file=" + release_keystore); 
				cmdline.push_back("-Prelease_keystore_alias=" + release_username); 
				cmdline.push_back("-Prelease_keystore_password=" + release_password); 
			}
		}
		String build_project_output;