### 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)

orientations += "<string>UIInterfaceOrientationPortrait</string>\n";
					orientations += "<string>UIInterfaceOrientationPortraitUpsideDown</string>\n";
					break;
			}
			strnew += lines[i].replace("$interface_orientations", orientations);
		} else if (lines[i].find("$camera_usage_description") != -1) {
			String description = p_preset->get("privacy/camera_usage_description");
			strnew += lines[i].replace("$camera_usage_description", description) + "\n";
		} else if (lines[i].find("$microphone_usage_description") != -1) {
			String description = p_preset->get("privacy/microphone_usage_description");
			strnew += lines[i].replace("$microphone_usage_description", description) + "\n";
		} else if (lines[i].find("$photolibrary_usage_description") != -1) {
			String description = p_preset->get("privacy/photolibrary_usage_description");
			strnew += lines[i].replace("$photolibrary_usage_description", description) + "\n";
		} else if (lines[i].find("$plist_launch_screen_name") != -1) {
			bool is_on = p_preset->get("storyboard/use_launch_screen_storyboard");
			String value = is_on ? "<key>UILaunchStoryboardName</key>\n<string>Launch Screen</string>" : "";
			strnew += lines[i].replace("$plist_launch_screen_name", value) + "\n";
		} else if (lines[i].find("$pbx_launch_screen_file_reference") != -1) {
			bool is_on = p_preset->get("storyboard/use_launch_screen_storyboard");
			String value = is_on ? "90DD2D9D24B36E8000717FE1 = {isa = PBXFileReference; fileEncoding = 4; lastKnownFileType = file.storyboard; path = \"Launch Screen.storyboard\"; sourceTree = \"<group>\"; };" : "";
			strnew += lines[i].replace("$pbx_launch_screen_file_reference", value) + "\n";
		} else if (lines[i].find("$pbx_launch_screen_copy_files") != -1) {
			bool is_on = p_preset->get("storyboard/use_launch_screen_storyboard");
			String value = is_on ? "90DD2D9D24B36E8000717FE1 /* Launch Screen.storyboard */," : "";
			strnew += lines[i].replace("$pbx_launch_screen_copy_files", value) + "\n";
		} else if (lines[i].find("$pbx_launch_screen_build_phase") != -1) {
			bool is_on = p_preset->get("storyboard/use_launch_screen_storyboard");
			String value = is_on ? "90DD2D9E24B36E8000717FE1 /* Launch Screen.storyboard in Resources */," : "";
			strnew += lines[i].replace("$pbx_launch_screen_build_phase", value) + "\n";