### 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)

int tag_size;
							int attr_count;
							if (has_version_attribute) {
								attr_version_string = string_table.find("version");
								if (attr_version_string == -1) {
									string_table.push_back("version");
									attr_version_string = string_table.size() - 1;
								}
								version_value = string_table.find(itos(feature_version));
								if (version_value == -1) {
									string_table.push_back(itos(feature_version));
									version_value = string_table.size() - 1;
								}
								tag_size = 96; 
								attr_count = 3;
							} else {
								tag_size = 76; 
								attr_count = 2;
							}
							manifest_cur_size += tag_size + 24;
							p_manifest.resize(manifest_cur_size);
							
							encode_uint16(0x102, &p_manifest.write[ofs]); 
							encode_uint16(16, &p_manifest.write[ofs + 2]); 
							encode_uint32(tag_size, &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_feature_string, &p_manifest.write[ofs + 20]); 
							encode_uint16(20, &p_manifest.write[ofs + 24]);