### 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)

Vector<uint8_t> project_file_data;
	while (ret == UNZ_OK) {
#if defined(MACOS_ENABLED) || defined(LINUXBSD_ENABLED)
		bool is_execute = false;
#endif
		
		unz_file_info info;
		char fname[16384];
		ret = unzGetCurrentFileInfo(src_pkg_zip, &info, fname, 16384, nullptr, 0, nullptr, 0);
		if (ret != UNZ_OK) {
			break;
		}
		String file = String::utf8(fname);
		print_line("READ: " + file);
		Vector<uint8_t> data;
		data.resize(info.uncompressed_size);
		
		unzOpenCurrentFile(src_pkg_zip);
		unzReadCurrentFile(src_pkg_zip, data.ptrw(), data.size());
		unzCloseCurrentFile(src_pkg_zip);
		
		if (files_to_parse.has(file)) {
			_fix_config_file(p_preset, data, config_data, p_debug);
		} else if (file.begins_with("libgodot.ios")) {
			if (!file.begins_with(library_to_use) || file.ends_with(String("/empty"))) {
				ret = unzGoToNextFile(src_pkg_zip);
				continue; 
			}
			found_library = true;
#if defined(MACOS_ENABLED) || defined(LINUXBSD_ENABLED)