### Godot version

4.0.2

### System information

Windows 10, GPU with no Vulkan support

### Issue description

My GPU doesn't support Vulkan. I run Godot 4 with "--rendering-driver opengl3" argument.

I have tried to open my Godot 3 project from Godot 4 Project Manager. It asked me whether I want my project to be converted. I pressed "full conversion". Very shortly it gave me a error that it can't run Vulkan app and that I should use "--rendering-driver opengl3", which I already run. After it closed Project Manager for me and I reopened it, I could find the project in the Project Manager list and then open it. There was no error. However the convertion was minimal, just enough to run it in Godot 4. I believe that it didn't run a full auto-convertion.
This always happens when I repeat these steps.

Next I have used command line and launched Godot 4 from it with "--convert-3to4" argument, doing it on second copy of the same Godot 3 project. (Had to increase limits for it to convert everything.) The process went smoothly and final project could be opened without error as well. However it had a more full conversion in comparison. This makes me believe that conversion process fails in Project Manager method by not respecting "--rendering-driver opengl3" argument in the process (I don't know how it actually looks as I can't run it).

P.S. I also run Godot 4 with "--single-window" argument, as it glitches out for me otherwise. I don't know if it has an impact on my experience, but worth mentioning.

Bonus:
I have a suspicion that this issue 
https://github.com/godotengine/godot/issues/74159
is related to this one and is actually a result of a failed conversion.

### Steps to reproduce

Get GPU with no Vulkan support and try to convert any Godot 3 project from Project Manager while running with "--rendering-driver opengl3".

### Minimal reproduction project

Any Godot 3 project, it just has to error on attempt.
//get filename
					unz_file_i
					char fname[16384];
					ret = unzGetCurrentFileInfo(pkg, &info, fname, 16384, nullptr, 0, nullptr, 0);
					if (ret != UNZ_OK) {
						break;
					}
					String path = String::utf8(fname);
					if (path.is_empty() || path == zip_root || !zip_root.is_subsequence_of(path)) {
						//
					} else if (path.ends_wh("/")) { // a dir
						path = path.subath.length() - 1);
						String rel_path = path.substr(zip_root.length());
						Ref<DirAccess> da = DirAccess::create(DirAccess::ACCESS_FILESYSTEM);
						da->make_dir(dir.path_join(rel_path));
					} else {
						Vector<uint8_t> uncomp_data;
						uncomp_data.resize(info.uncompressed_size);
						String rel_path = path.substr(zip_root.length());
						//read
						unzOpenCurrentFil;
						ret = unzReadCurrentFile(pkg, uncomp_data.ptrw(), uncomp_data.size());
						ERR_BREAK_MSG(ret < 0, vformat("An error occurred while attempting to read from file: %s. This file will not be used.", rel_path));
						unzCloseCurrentFil;
						Ref<FileAccess> f = FileAccess::open(dir.path_join(rel_path), FileAccess::WRITE);
						if (f.is_valid()) {
							f->store_buffer(uncomp_data.ptr(), uncomp_data.size());
						} else {
							failed_files.push_back(rel_path);
						}