### 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)

languages.insert(tr->get_locale());
					}
				}
				int index = 0;
				for (const String &lang : languages) {
					locale_files += "D0BCFE4518AEBDA2004A" + itos(index).pad_zeros(4) + " /* " + lang + " */,\n";
					index++;
				}
			}
			strnew += lines[i].replace("$pbx_locale_build_reference", locale_files);
		} else if (lines[i].find("$swift_runtime_migration") != -1) {
			String value = !p_config.use_swift_runtime ? "" : "LastSwiftMigration = 1250;";
			strnew += lines[i].replace("$swift_runtime_migration", value) + "\n";
		} else if (lines[i].find("$swift_runtime_build_settings") != -1) {
			String value = !p_config.use_swift_runtime ? "" : R"(
                     CLANG_ENABLE_MODULES = YES;
                     SWIFT_OBJC_BRIDGING_HEADER = "$binary/dummy.h";
                     SWIFT_VERSION = 5.0;
                     )";
			value = value.replace("$binary", p_config.binary_name);
			strnew += lines[i].replace("$swift_runtime_build_settings", value) + "\n";
		} else if (lines[i].find("$swift_runtime_fileref") != -1) {
			String value = !p_config.use_swift_runtime ? "" : R"(
                     90B4C2AA2680BC560039117A /* dummy.h */ = {isa = PBXFileReference; lastKnownFileType = sourcecode.c.h; path = "dummy.h"; sourceTree = "<group>"; };
                     90B4C2B52680C7E90039117A /* dummy.swift */ = {isa = PBXFileReference; lastKnownFileType = sourcecode.swift; path = "dummy.swift"; sourceTree = "<group>"; };
                     )";
			strnew += lines[i].replace("$swift_runtime_fileref", value) + "\n";
		} else if (lines[i].find("$swift_runtime_binary_files") != -1) {
			String value = !p_config.use_swift_runtime ? "" : R"(
                     90B4C2AA2680BC560039117A /* dummy.h */,