### 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)

zipWriteInFileInZip(p_zip, target.utf8().get_data(), target.utf8().size());
			zipCloseFileInZip(p_zip);
		} else if (da->current_is_dir()) {
			zip_folder_recursive(p_zip, p_root_path, p_folder.path_join(f), p_pkg_name);
		} else {
			bool _is_executable = is_executable(dir.path_join(f));
			OS::DateTime dt = OS::get_singleton()->get_datetime();
			zip_fileinfo zipfi;
			zipfi.tmz_date.tm_year = dt.year;
			zipfi.tmz_date.tm_mon = dt.month - 1; 
			zipfi.tmz_date.tm_mday = dt.day;
			zipfi.tmz_date.tm_hour = dt.hour;
			zipfi.tmz_date.tm_min = dt.minute;
			zipfi.tmz_date.tm_sec = dt.second;
			zipfi.dosDate = 0;
			
			
			
			uint32_t _mode = (_is_executable ? 0100755 : 0100644);
			zipfi.external_fa = (_mode << 16L) | !(_mode & 0200);
			zipfi.internal_fa = 0;
			zipOpenNewFileInZip4(p_zip,
					p_folder.path_join(f).utf8().get_data(),
					&zipfi,
					nullptr,
					0,
					nullptr,
					0,
					nullptr,
					Z_DEFLATED,