### 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)

String p = props[j];
							p = p.replace("]: ", "=");
							p = p.replace("[", "");
							p = p.replace("]", "");
							if (p.begins_with("ro.product.model=")) {
								device = p.get_slice("=", 1).strip_edges();
							} else if (p.begins_with("ro.product.brand=")) {
								vendor = p.get_slice("=", 1).strip_edges().capitalize();
							} else if (p.begins_with("ro.build.display.id=")) {
								d.description += "Build: " + p.get_slice("=", 1).strip_edges() + "\n";
							} else if (p.begins_with("ro.build.version.release=")) {
								d.description += "Release: " + p.get_slice("=", 1).strip_edges() + "\n";
							} else if (p.begins_with("ro.build.version.sdk=")) {
								d.api_level = p.get_slice("=", 1).to_int();
							} else if (p.begins_with("ro.product.cpu.abi=")) {
								d.description += "CPU: " + p.get_slice("=", 1).strip_edges() + "\n";
							} else if (p.begins_with("ro.product.manufacturer=")) {
								d.description += "Manufacturer: " + p.get_slice("=", 1).strip_edges() + "\n";
							} else if (p.begins_with("ro.board.platform=")) {
								d.description += "Chipset: " + p.get_slice("=", 1).strip_edges() + "\n";
							} else if (p.begins_with("ro.opengles.version=")) {
								uint32_t opengl = p.get_slice("=", 1).to_int();
								d.description += "OpenGL: " + itos(opengl >> 16) + "." + itos((opengl >> 8) & 0xFF) + "." + itos((opengl)&0xFF) + "\n";
							}
						}
						d.name = vendor + " " + device;
						if (device.is_empty()) {
							continue;