### 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)

attr_uses_permission_string = string_table.size() - 1;
					}
					for (int i = 0; i < perms.size(); ++i) {
						print_line("Adding permission " + perms[i]);
						manifest_cur_size += 56 + 24; 
						p_manifest.resize(manifest_cur_size);
						
						int32_t perm_string = string_table.find(perms[i]);
						if (perm_string == -1) {
							string_table.push_back(perms[i]);
							perm_string = string_table.size() - 1;
						}
						
						encode_uint16(0x102, &p_manifest.write[ofs]); 
						encode_uint16(16, &p_manifest.write[ofs + 2]); 
						encode_uint32(56, &p_manifest.write[ofs + 4]); 
						encode_uint32(0, &p_manifest.write[ofs + 8]); 
						encode_uint32(-1, &p_manifest.write[ofs + 12]); 
						encode_uint32(-1, &p_manifest.write[ofs + 16]); 
						encode_uint32(attr_uses_permission_string, &p_manifest.write[ofs + 20]); 
						encode_uint16(20, &p_manifest.write[ofs + 24]); 
						encode_uint16(20, &p_manifest.write[ofs + 26]); 
						encode_uint16(1, &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(perm_string, &p_manifest.write[ofs + 44]);