### 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)

while (ret == UNZ_OK) {
		unz_file_info info;
		memset(&info, 0, sizeof(info));
		char fname[16384];
		char extra[16384];
		ret = unzGetCurrentFileInfo(tmp_unaligned, &info, fname, 16384, extra, 16384 - ZIP_ALIGNMENT, nullptr, 0);
		if (ret != UNZ_OK) {
			break;
		}
		String file = String::utf8(fname);
		Vector<uint8_t> data;
		data.resize(info.compressed_size);
		
		int method, level;
		unzOpenCurrentFile2(tmp_unaligned, &method, &level, 1); 
		long file_offset = unzGetCurrentFileZStreamPos64(tmp_unaligned);
		unzReadCurrentFile(tmp_unaligned, data.ptrw(), data.size());
		unzCloseCurrentFile(tmp_unaligned);
		
		int padding = 0;
		if (!info.compression_method) {
			
			long new_offset = file_offset + bias;
			padding = (ZIP_ALIGNMENT - (new_offset % ZIP_ALIGNMENT)) % ZIP_ALIGNMENT;
		}
		memset(extra + info.size_file_extra, 0, padding);
		zip_fileinfo fileinfo = get_zip_fileinfo();
		zipOpenNewFileInZip2(final_apk,
				file.utf8().get_data(),
				&fileinfo,