### 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)

encode_uint16(20, &p_manifest.write[ofs + 26]); 
							encode_uint16(attr_count, &p_manifest.write[ofs + 28]); 
							encode_uint16(0, &p_manifest.write[ofs + 30]); 
							encode_uint16(0, &p_manifest.write[ofs + 32]); 
							encode_uint16(0, &p_manifest.write[ofs + 34]); 
							
							encode_uint32(ns_android_string, &p_manifest.write[ofs + 36]); 
							encode_uint32(attr_name_string, &p_manifest.write[ofs + 40]); 
							encode_uint32(feature_string, &p_manifest.write[ofs + 44]); 
							encode_uint16(8, &p_manifest.write[ofs + 48]); 
							p_manifest.write[ofs + 50] = 0; 
							p_manifest.write[ofs + 51] = 0x03; 
							encode_uint32(feature_string, &p_manifest.write[ofs + 52]); 
							
							encode_uint32(ns_android_string, &p_manifest.write[ofs + 56]); 
							encode_uint32(attr_required_string, &p_manifest.write[ofs + 60]); 
							encode_uint32(required_value, &p_manifest.write[ofs + 64]); 
							encode_uint16(8, &p_manifest.write[ofs + 68]); 
							p_manifest.write[ofs + 70] = 0; 
							p_manifest.write[ofs + 71] = 0x03; 
							encode_uint32(required_value, &p_manifest.write[ofs + 72]); 
							ofs += 76;
							if (has_version_attribute) {
								
								encode_uint32(ns_android_string, &p_manifest.write[ofs]); 
								encode_uint32(attr_version_string, &p_manifest.write[ofs + 4]); 
								encode_uint32(version_value, &p_manifest.write[ofs + 8]); 
								encode_uint16(8, &p_manifest.write[ofs + 12]); 
								p_manifest.write[ofs + 14] = 0; 
								p_manifest.write[ofs + 15] = 0x03;