### 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)

String pck_path;
	if (p_preset->get("binary_format/embed_pck")) {
		pck_path = p_path;
	} else {
		pck_path = p_path.get_basename() + ".pck";
	}
	Vector<SharedObject> so_files;
	int64_t embedded_pos;
	int64_t embedded_size;
	Error err = save_pack(p_preset, p_debug, pck_path, &so_files, p_preset->get("binary_format/embed_pck"), &embedded_pos, &embedded_size);
	if (err == OK && p_preset->get("binary_format/embed_pck")) {
		if (embedded_size >= 0x100000000 && String(p_preset->get("binary_format/architecture")).contains("32")) {
			add_message(EXPORT_MESSAGE_ERROR, TTR("PCK Embedding"), TTR("On 32-bit exports the embedded PCK cannot be bigger than 4 GiB."));
			return ERR_INVALID_PARAMETER;
		}
		err = fixup_embedded_pck(p_path, embedded_pos, embedded_size);