### 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 (!passwd.is_empty()) {
			r_flags.push_back("--remote-fs-password");
			r_flags.push_back(passwd);
		}
	}
	if (p_flags & DEBUG_FLAG_REMOTE_DEBUG) {
		r_flags.push_back("--remote-debug");
		r_flags.push_back(get_debug_protocol() + host + ":" + String::num(remote_port));
		List<String> breakpoints;
		ScriptEditor::get_singleton()->get_breakpoints(&breakpoints);
		if (breakpoints.size()) {
			r_flags.push_back("--breakpoints");
			String bpoints;
			for (List<String>::Element *E = breakpoints.front(); E; E = E->next()) {
				bpoints += E->get().replace(" ", "%20");
				if (E->next()) {
					bpoints += ",";
				}
			}
			r_flags.push_back(bpoints);
		}
	}
	if (p_flags & DEBUG_FLAG_VIEW_COLLISIONS) {
		r_flags.push_back("--debug-collisions");
	}
	if (p_flags & DEBUG_FLAG_VIEW_NAVIGATION) {
		r_flags.push_back("--debug-navigation");
	}
}
bool EditorExportPlatform::can_export(const Ref<EditorExportPreset> &p_preset, String &r_error, bool &r_missing_templates, bool p_debug) const {