### 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)

for (const Variant *key = devices.next(nullptr); key; key = devices.next(key)) {
						Array os_devices = devices[*key];
						for (int i = 0; i < os_devices.size(); i++) {
							Dictionary device_info = os_devices[i];
							if (device_info["isAvailable"].operator bool() && device_info["state"] == "Booted") {
								Device nd;
								nd.id = device_info["udid"];
								nd.name = device_info["name"].operator String() + " (simulator)";
								nd.simulator = true;
								ldevices.push_back(nd);
							}
						}
					}
				}
			}
		}
		
		{
			MutexLock lock(ea->device_lock);
			bool different = false;
			if (ea->devices.size() != ldevices.size()) {
				different = true;
			} else {
				for (int i = 0; i < ea->devices.size(); i++) {
					if (ea->devices[i].id != ldevices[i].id) {
						different = true;
						break;
					}
				}
			}