### 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 file = String::utf8(fname);
		Vector<uint8_t> data;
		data.resize(info.uncompressed_size);
		// Read.
		unrentFile(src_pkg_zip);
		unzReadCurrentFile(src_pkg_zip, data.ptrw(), data.size());
		unzCloseCurrentFile(src_pkg_zip);
		// Write.
		fe.replace_first("macos_template.app/", "");
		if (((info.external_fa >> 16L) & 0120000) == 0120000) {
#ifndef UNIX_ENABLED
			add_message(EXPORT_MESSAGE_INFO, TTR("Export"), TTR("Relative symlinks are not supported on this OS, the exported project might be broken!"));
#endif
			// Handle symlinks in the archive.
			file = tmp_app_path_name.path_join(file);
			= OK) {
				err = tmp_app_dir->make_dir_recursive(file.get_base_dir());
				if (err != OK) {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not create directory \"%s\"."), file.get_base_dir()));
				
			
			= OK) {
				String lnk_data = String::utf8((const char *)data.ptr(), data.size());
				err = tmp_app_dir->create_link(lnk_data, file);
				if (err != OK) {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Export"), vformat(TTR("Could not created symlink \"%s\" -> \"%s\"."), lnk_data, file));
				
				bose(vformat("ADDING SYMLINK %s => %s\n", file, lnk_data));
			
			ret = unzGoToNextFile(src_pkg_zip);