### 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)

}
						int32_t attr_uses_feature_string = string_table.find("uses-feature");
						if (attr_uses_feature_string == -1) {
							string_table.push_back("uses-feature");
							attr_uses_feature_string = string_table.size() - 1;
						}
						int32_t attr_required_string = string_table.find("required");
						if (attr_required_string == -1) {
							string_table.push_back("required");
							attr_required_string = string_table.size() - 1;
						}
						for (int i = 0; i < feature_names.size(); i++) {
							String feature_name = feature_names[i];
							bool feature_required = feature_required_list[i];
							int feature_version = feature_versions[i];
							bool has_version_attribute = feature_version != -1;
							print_line("Adding feature " + feature_name);
							int32_t feature_string = string_table.find(feature_name);
							if (feature_string == -1) {
								string_table.push_back(feature_name);
								feature_string = string_table.size() - 1;
							}
							String required_value_string = feature_required ? "true" : "false";
							int32_t required_value = string_table.find(required_value_string);
							if (required_value == -1) {
								string_table.push_back(required_value_string);
								required_value = string_table.size() - 1;
							}
							int32_t attr_version_string = -1;
							int32_t version_value = -1;