### 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)

String ref_id = (++current_id).str();
		String framework_id = "";
		const IOSExportAsset &asset = p_additional_assets[i];
		String type;
		if (asset.exported_path.ends_with(".framework")) {
			if (asset.should_embed) {
				additional_asset_info_format += "$framework_id = {isa = PBXBuildFile; fileRef = $ref_id; settings = {ATTRIBUTES = (CodeSignOnCopy, ); }; };\n";
				framework_id = (++current_id).str();
				pbx_embeded_frameworks += framework_id + ",\n";
			}
			type = "wrapper.framework";
		} else if (asset.exported_path.ends_with(".xcframework")) {
			if (asset.should_embed) {
				additional_asset_info_format += "$framework_id = {isa = PBXBuildFile; fileRef = $ref_id; settings = {ATTRIBUTES = (CodeSignOnCopy, ); }; };\n";
				framework_id = (++current_id).str();
				pbx_embeded_frameworks += framework_id + ",\n";
			}
			type = "wrapper.xcframework";
		} else if (asset.exported_path.ends_with(".dylib")) {
			type = "compiled.mach-o.dylib";
		} else if (asset.exported_path.ends_with(".a")) {
			type = "archive.ar";
		} else {
			type = "file";
		}
		String &pbx_build = asset.is_framework ? pbx_frameworks_build : pbx_resources_build;
		String &pbx_refs = asset.is_framework ? pbx_frameworks_refs : pbx_resources_refs;
		if (pbx_build.length() > 0) {
			pbx_build += ",\n";
			pbx_refs += ",\n";