### 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)

const int CHUNK_STRINGS = 0x001C0001;
	
	const int CHUNK_XML_END_TAG = 0x00100103;
	
	const int CHUNK_XML_START_TAG = 0x00100102;
	
	const int UTF8_FLAG = 0x00000100;
	Vector<String> string_table;
	uint32_t ofs = 8;
	uint32_t string_count = 0;
	uint32_t string_flags = 0;
	uint32_t string_data_offset = 0;
	uint32_t string_table_begins = 0;
	uint32_t string_table_ends = 0;
	Vector<uint8_t> stable_extra;
	String version_name = p_preset->get_version("version/name");
	int version_code = p_preset->get("version/code");
	String package_name = p_preset->get("package/unique_name");
	const int screen_orientation =