### 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)

strnew += lines[i].replace("$code_sign_style_debug", "Manual") + "\n";
			} else {
				strnew += lines[i].replace("$code_sign_style_debug", "Automatic") + "\n";
			}
		} else if (lines[i].find("$code_sign_style_release") != -1) {
			if (rel_manual) {
				strnew += lines[i].replace("$code_sign_style_release", "Manual") + "\n";
			} else {
				strnew += lines[i].replace("$code_sign_style_release", "Automatic") + "\n";
			}
		} else if (lines[i].find("$provisioning_profile_uuid") != -1) {
			String uuid = p_debug ? p_preset->get_or_env("application/provisioning_profile_uuid_debug", ENV_IOS_PROFILE_UUID_DEBUG) : p_preset->get_or_env("application/provisioning_profile_uuid_release", ENV_IOS_PROFILE_UUID_RELEASE);
			strnew += lines[i].replace("$provisioning_profile_uuid", uuid) + "\n";
		} else if (lines[i].find("$code_sign_identity_debug") != -1) {
			strnew += lines[i].replace("$code_sign_identity_debug", dbg_sign_id) + "\n";
		} else if (lines[i].find("$code_sign_identity_release") != -1) {
			strnew += lines[i].replace("$code_sign_identity_release", rel_sign_id) + "\n";
		} else if (lines[i].find("$additional_plist_content") != -1) {
			strnew += lines[i].replace("$additional_plist_content", p_config.plist_content) + "\n";
		} else if (lines[i].find("$godot_archs") != -1) {
			strnew += lines[i].replace("$godot_archs", p_config.architectures) + "\n";
		} else if (lines[i].find("$linker_flags") != -1) {
			strnew += lines[i].replace("$linker_flags", p_config.linker_flags) + "\n";
		} else if (lines[i].find("$targeted_device_family") != -1) {
			String xcode_value;
			switch ((int)p_preset->get("application/targeted_device_family")) {
				case 0: 
					xcode_value = "1";
					break;
				case 1: