### 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)

valid = dvalid || rvalid || has_export_templates;
		if (!valid) {
			err += template_err;
		}
	} else {
		bool installed_android_build_template = FileAccess::exists("res://android/build/build.gradle");
		if (!installed_android_build_template) {
			r_missing_templates = !exists_export_template("android_source.zip", &err);
			err += TTR("Android build template not installed in the project. Install it from the Project menu.") + "\n";
		} else {
			r_missing_templates = false;
		}
		valid = installed_android_build_template && !r_missing_templates;
	}
	
	String dk = p_preset->get_or_env("keystore/debug", ENV_ANDROID_KEYSTORE_DEBUG_PATH);
	String dk_user = p_preset->get_or_env("keystore/debug_user", ENV_ANDROID_KEYSTORE_DEBUG_USER);
	String dk_password = p_preset->get_or_env("keystore/debug_password", ENV_ANDROID_KEYSTORE_DEBUG_PASS);
	if ((dk.is_empty() || dk_user.is_empty() || dk_password.is_empty()) && (!dk.is_empty() || !dk_user.is_empty() || !dk_password.is_empty())) {
		valid = false;
		err += TTR("Either Debug Keystore, Debug User AND Debug Password settings must be configured OR none of them.") + "\n";
	}
	
	if ((p_debug || !dk.is_empty()) && !FileAccess::exists(dk)) {
		dk = EDITOR_GET("export/android/debug_keystore");
		if (!FileAccess::exists(dk)) {
			valid = false;
			err += TTR("Debug keystore not configured in the Editor Settings nor in the preset.") + "\n";
		}
	}