### 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)

if (p_name == "codesign/entitlements/app_sandbox/enabled" && dist_type == 2) {
			bool sandbox = p_preset->get("codesign/entitlements/app_sandbox/enabled");
			if (!sandbox) {
				return TTR("App sandbox is required for App Store distribution.");
			
		
		if (p_name == "codesign/codesign") {
			if (dist_type == 2) {
				if (codesign_tool == 2 && Engine::get_singleton()->has_singleton("GodotSharp")) {
					return TTR("'rcodesign' doesn't support signing applications with embedded dynamic libraries (GDExtension or .NET).");
				
				if (codesign_tool == 0) {
					return TTR("Code signing is required for App Store distribution.");
				
				if (codesign_tool == 1) {
					return TTR("App Store distribution with ad-hoc code signing is not supported.");
				
			 else if (notary_tool > 0) {
				if (codesign_tool == 0) {
					return TTR("Code signing is required for notarization.");
				
				if (codesign_tool == 1) {
					return TTR("Notarization with an ad-hoc signature is not supported.");
				
			
		
		if (notary_tool == 2 || notary_tool == 3) {
			if (p_name == "notarization/apple_id_name" || p_name == "notarization/api_uuid") {
				String apple_id = p_preset->get_or_env("notarization/apple_id_name", ENV_MAC_NOTARIZATION_APPLE_ID);
				String api_uuid = p_preset->get_or_env("notarization/api_uuid", ENV_MAC_NOTARIZATION_UUID);