### 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)

add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), vformat(TTR("'apksigner' could not be found. Please check that the command is available in the Android SDK build-tools directory. The resulting %s is unsigned."), export_label));
		return OK;
	}
	String keystore;
	String password;
	String user;
	if (p_debug) {
		keystore = p_preset->get_or_env("keystore/debug", ENV_ANDROID_KEYSTORE_DEBUG_PATH);
		password = p_preset->get_or_env("keystore/debug_password", ENV_ANDROID_KEYSTORE_DEBUG_PASS);
		user = p_preset->get_or_env("keystore/debug_user", ENV_ANDROID_KEYSTORE_DEBUG_USER);
		if (keystore.is_empty()) {
			keystore = EDITOR_GET("export/android/debug_keystore");
			password = EDITOR_GET("export/android/debug_keystore_pass");
			user = EDITOR_GET("export/android/debug_keystore_user");
		}
		if (ep.step(vformat(TTR("Signing debug %s..."), export_label), 104)) {
			return ERR_SKIP;
		}
	} else {
		keystore = release_keystore;
		password = release_password;
		user = release_username;
		if (ep.step(vformat(TTR("Signing release %s..."), export_label), 104)) {
			return ERR_SKIP;
		}
	}
	if (!FileAccess::exists(keystore)) {
		add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("Could not find keystore, unable to export."));
		return ERR_FILE_CANT_OPEN;
	}