### 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)

const String basepath = dest.path_join("tmp_js_export");
	Error err = export_project(p_preset, true, basepath + ".html", p_debug_flags);
	if (err != OK) {
		
		DirAccess::remove_file_or_error(basepath + ".html");
		DirAccess::remove_file_or_error(basepath + ".offline.html");
		DirAccess::remove_file_or_error(basepath + ".js");
		DirAccess::remove_file_or_error(basepath + ".worker.js");
		DirAccess::remove_file_or_error(basepath + ".audio.worklet.js");
		DirAccess::remove_file_or_error(basepath + ".service.worker.js");
		DirAccess::remove_file_or_error(basepath + ".pck");
		DirAccess::remove_file_or_error(basepath + ".png");
		DirAccess::remove_file_or_error(basepath + ".side.wasm");
		DirAccess::remove_file_or_error(basepath + ".wasm");
		DirAccess::remove_file_or_error(basepath + ".icon.png");
		DirAccess::remove_file_or_error(basepath + ".apple-touch-icon.png");
		return err;
	}
	const uint16_t bind_port = EDITOR_GET("export/web/http_port");
	
	const String bind_host = EDITOR_GET("export/web/http_host");
	IPAddress bind_ip;
	if (bind_host.is_valid_ip_address()) {
		bind_ip = bind_host;
	} else {
		bind_ip = IP::get_singleton()->resolve_hostname(bind_host);
	}
	ERR_FAIL_COND_V_MSG(!bind_ip.is_valid(), ERR_INVALID_PARAMETER, "Invalid editor setting 'export/web/http_host': '" + bind_host + "'. Try using '127.0.0.1'.");
	const bool use_tls = EDITOR_GET("export/web/use_tls");
	const String tls_key = EDITOR_GET("export/web/tls_key");