### 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)

args.push_back(file_verion);
	}
	if (!product_version.is_empty()) {
		args.push_back("--set-product-version");
		args.push_back(product_version);
	}
	if (!company_name.is_empty()) {
		args.push_back("--set-version-string");
		args.push_back("CompanyName");
		args.push_back(company_name);
	}
	if (!product_name.is_empty()) {
		args.push_back("--set-version-string");
		args.push_back("ProductName");
		args.push_back(product_name);
	}
	if (!file_description.is_empty()) {
		args.push_back("--set-version-string");
		args.push_back("FileDescription");
		args.push_back(file_description);
	}
	if (!copyright.is_empty()) {
		args.push_back("--set-version-string");
		args.push_back("LegalCopyright");
		args.push_back(copyright);
	}
	if (!trademarks.is_empty()) {
		args.push_back("--set-version-string");
		args.push_back("LegalTrademarks");
		args.push_back(trademarks);