### 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 (tname == "application" && attrname == "hasFragileUserData") {
						encode_uint32(retain_data_on_uninstall, &p_manifest.write[iofs + 16]);
					}
					if (tname == "activity" && attrname == "screenOrientation") {
						encode_uint32(screen_orientation, &p_manifest.write[iofs + 16]);
					}
					if (tname == "activity" && attrname == "excludeFromRecents") {
						encode_uint32(exclude_from_recents, &p_manifest.write[iofs + 16]);
					}
					if (tname == "activity" && attrname == "resizeableActivity") {
						encode_uint32(is_resizeable, &p_manifest.write[iofs + 16]);
					}
					if (tname == "provider" && attrname == "authorities") {
						string_table.write[attr_value] = get_package_name(package_name) + String(".fileprovider");
					}
					if (tname == "supports-screens") {
						if (attrname == "smallScreens") {
							encode_uint32(screen_support_small ? 0xFFFFFFFF : 0, &p_manifest.write[iofs + 16]);
						} else if (attrname == "normalScreens") {
							encode_uint32(screen_support_normal ? 0xFFFFFFFF : 0, &p_manifest.write[iofs + 16]);
						} else if (attrname == "largeScreens") {
							encode_uint32(screen_support_large ? 0xFFFFFFFF : 0, &p_manifest.write[iofs + 16]);
						} else if (attrname == "xlargeScreens") {
							encode_uint32(screen_support_xlarge ? 0xFFFFFFFF : 0, &p_manifest.write[iofs + 16]);
						}
					}
					iofs += 20;
				}
			} break;
			case CHUNK_XML_END_TAG: {