### 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 (!p_so.path.get_file().begins_with("lib")) {
		String err = "Android .so file names must start with \"lib\", but got: " + p_so.path;
		ERR_PRINT(err);
		return FAILED;
	}
	APKExportData *ed = static_cast<APKExportData *>(p_userdata);
	Vector<ABI> abis = get_abis();
	bool exported = false;
	for (int i = 0; i < p_so.tags.size(); ++i) {
		
		int abi_index = -1;
		for (int j = 0; j < abis.size(); ++j) {
			if (abis[j].abi == p_so.tags[i] || abis[j].arch == p_so.tags[i]) {
				abi_index = j;
				break;
			}
		}
		if (abi_index != -1) {
			exported = true;
			String abi = abis[abi_index].abi;
			String dst_path = String("lib").path_join(abi).path_join(p_so.path.get_file());
			Vector<uint8_t> array = FileAccess::get_file_as_bytes(p_so.path);
			Error store_err = store_in_apk(ed, dst_path, array);
			ERR_FAIL_COND_V_MSG(store_err, store_err, "Cannot store in apk file '" + dst_path + "'.");
		}