### 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 certificate_file = p_preset->get_or_env("codesign/certificate_file", ENV_MAC_CODESIGN_CERT_FILE);
			String certificate_pass = p_preset->get_or_env("codesign/certificate_password", ENV_MAC_CODESIGN_CERT_PASS);
			if (!certificate_file.is_empty() && !certificate_pass.is_empty()) {
				args.push_back("--p12-file");
				args.push_back(certificate_file);
				args.push_back("--p12-password");
				args.push_back(certificate_pass);
			
			args.push_back("--code-signature-flags");
			args.push_back("runtime");
			args.push_back("-v"); /* provide some more feedback */
			args.push_back(p_path);
			String str;
			int exitcode = 0;
			Error err = OS::get_singleton()->execute(rcodesign, args, &str, &exitcode, true);
			if (err != OK) {
				add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("Could not start rcodesign executable."));
				return err;
			
			if (exitcode != 0) {
				print_line("rcodesign (" + p_path + "):\n" + str);
				add_message(EXPORT_MESSAGE_WARNING, TTR("Code Signing"), TTR("Code signing failed, see editor log for details."));
				return Error::FAILED;
			 else {
				bose("rcodesign (" + p_path + "):\n" + str);
			
		 break;
#ifdef MACOS_ENABLED
		case 3: { 
			bose("using xcode codesign...");