### 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)

ERR_FAIL_COND_V_MSG(p_total < 1, ERR_PARAMETER_RANGE_ERROR, "Must select at least one file to export.");
	PackData *pd = (PackData *)p_userdata;
	SavedData sd;
	sd.path_utf8 = p_path.utf8();
	sd.ofs = pd->f->get_position();
	sd.size = p_data.size();
	sd.encrypted = false;
	for (int i = 0; i < p_enc_in_filters.size(); ++i) {
		if (p_path.matchn(p_enc_in_filters[i]) || p_path.replace("res://", "").matchn(p_enc_in_filters[i])) {
			sd.encrypted = true;
			break;
		}
	}
	for (int i = 0; i < p_enc_ex_filters.size(); ++i) {
		if (p_path.matchn(p_enc_ex_filters[i]) || p_path.replace("res://", "").matchn(p_enc_ex_filters[i])) {
			sd.encrypted = false;
			break;
		}
	}
	Ref<FileAccessEncrypted> fae;
	Ref<FileAccess> ftmp = pd->f;
	if (sd.encrypted) {
		fae.instantiate();
		ERR_FAIL_COND_V(fae.is_null(), ERR_SKIP);
		Error err = fae->open_and_parse(ftmp, p_key, FileAccessEncrypted::MODE_WRITE_AES256, false);