### 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)

= OK && sign_enabled) {
			int dist_type = p_preset->get("export/distribution_type");
			if (dist_type == 2) {
				String pprof = p_preset->get_or_env("codesign/provisioning_profile", ENV_MAC_CODESIGN_PROFILE).operator String();
				if (!pprof.is_empty()) {
					Ref<DirAccess> da = DirAccess::create(DirAccess::ACCESS_FILESYSTEM);
					err = da->copy(pprof, tmp_app_path_name + "/Contents/embedded.provisionprofile");
				
			
			if (ep.step(TTR("Code signing bundle"), 2)) {
				return ERR_SKIP;
			
			err = _code_sign(p_preset, tmp_app_path_name, ent_path);
		
		if (export_format == "dmg") {
			// Create a DMG.
			= OK) {
				if (ep.step(TTR("Making DMG"), 3)) {
					return ERR_SKIP;
				
				err = _create_dmg(p_path, pkg_name, tmp_base_path_name);
			
			// Sign DMG.
			= OK && sign_enabled && !ad_hoc) {
				if (ep.step(TTR("Code signing DMG"), 3)) {
					return ERR_SKIP;
				
				err = _code_sign(p_preset, p_path, ent_path, false);
			
		 else if (export_format == "pkg") {