### 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 adb = get_adb_path();
		if (FileAccess::exists(adb)) {
			String devices;
			List<String> args;
			args.push_back("devices");
			int ec;
			OS::get_singleton()->execute(adb, args, &devices, &ec);
			Vector<String> ds = devices.split("\n");
			Vector<String> ldevices;
			for (int i = 1; i < ds.size(); i++) {
				String d = ds[i];
				int dpos = d.find("device");
				if (dpos == -1) {
					continue;
				}
				d = d.substr(0, dpos).strip_edges();
				ldevices.push_back(d);
			}
			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]) {
						different = true;
						break;
					}
				}