### 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)

add_message(EXPORT_MESSAGE_ERROR, TTR("Notarization"), TTR("Both Apple ID name and App Store Connect issuer ID name are specified, only one should be set at the same time."));
				return Error::FAILED;
			
			if (p_preset->get_or_env("notarization/apple_id_name", ENV_MAC_NOTARIZATION_APPLE_ID) != "") {
				if (p_preset->get_or_env("notarization/apple_id_password", ENV_MAC_NOTARIZATION_APPLE_PASS) == "") {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Notarization"), TTR("Apple ID password not specified."));
					return Error::FAILED;
				
				args.push_back("--apple-id");
				args.push_back(p_preset->get_or_env("notarization/apple_id_name", ENV_MAC_NOTARIZATION_APPLE_ID));
				args.push_back("--password");
				args.push_back(p_preset->get_or_env("notarization/apple_id_password", ENV_MAC_NOTARIZATION_APPLE_PASS));
			 else {
				if (p_preset->get_or_env("notarization/api_key_id", ENV_MAC_NOTARIZATION_KEY_ID) == "") {
					add_message(EXPORT_MESSAGE_ERROR, TTR("Notarization"), TTR("App Store Connect API key ID not specified."));
					return Error::FAILED;
				
				args.push_back("--issuer");
				args.push_back(p_preset->get_or_env("notarization/api_uuid", ENV_MAC_NOTARIZATION_UUID));
				if (!p_preset->get_or_env("notarization/api_key", ENV_MAC_NOTARIZATION_KEY).operator String().is_empty()) {
					args.push_back("--key");
					args.push_back(p_preset->get_or_env("notarization/api_key", ENV_MAC_NOTARIZATION_KEY));
				
				args.push_back("--key-id");
				args.push_back(p_preset->get_or_env("notarization/api_key_id", ENV_MAC_NOTARIZATION_KEY_ID));
			
			args.push_back("--no-progress");
			if (p_preset->get("codesign/apple_team_id")) {
				args.push_back("--team-id");
				args.push_back(p_preset->get("codesign/apple_team_id"));