### 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)

#include "core/io/image_loader.h"
#include "core/io/json.h"
#include "core/io/marshalls.h"
#include "core/version.h"
#include "drivers/png/png_driver_common.h"
#include "editor/editor_log.h"
#include "editor/editor_node.h"
#include "editor/editor_paths.h"
#include "editor/editor_scale.h"
#include "editor/editor_settings.h"
#include "editor/import/resource_importer_texture_settings.h"
#include "main/splash.gen.h"
#include "scene/resources/image_texture.h"
#include "modules/modules_enabled.gen.h" 
#ifdef MODULE_SVG_ENABLED
#include "modules/svg/image_loader_svg.h"
#endif
#include <string.h>
static const char *android_perms[] = {
	"ACCESS_CHECKIN_PROPERTIES",
	"ACCESS_COARSE_LOCATION",
	"ACCESS_FINE_LOCATION",
	"ACCESS_LOCATION_EXTRA_COMMANDS",
	"ACCESS_MOCK_LOCATION",
	"ACCESS_NETWORK_STATE",
	"ACCESS_SURFACE_FLINGER",
	"ACCESS_WIFI_STATE",
	"ACCOUNT_MANAGER",
	"ADD_VOICEMAIL",
	"AUTHENTICATE_ACCOUNTS",