### 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)

is_execute = true;
#endif
			file = file.replace(library_to_use, binary_name + ".xcframework");
		}
		if (file == project_file) {
			project_file_data = data;
		}
		
		if (data.size() > 0) {
			file = file.replace("godot_ios", binary_name);
			print_line("ADDING: " + file + " size: " + itos(data.size()));
			
			file = dest_dir + file;
			
			String dir_name = file.get_base_dir();
			if (!tmp_app_path->dir_exists(dir_name)) {
				print_line("Creating " + dir_name);
				Error dir_err = tmp_app_path->make_dir_recursive(dir_name);
				if (dir_err) {
					ERR_PRINT("Can't create '" + dir_name + "'.");
					unzClose(src_pkg_zip);
					return ERR_CANT_CREATE;
				}
			}
			
			{
				Ref<FileAccess> f = FileAccess::open(file, FileAccess::WRITE);
				if (f.is_null()) {
					ERR_PRINT("Can't write '" + file + "'.");
					unzClose(src_pkg_zip);