### 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.
} else if (mode == MODE_INSTALL) {
				if (project_path->get_text().ends_wh(".zip")) {
					dir = install_path->get_text();
					zip_path = project_path->get_text();
				}
				Ref<FileAccess> io_fa;
				zlib_filefunc_def io = zipio_create_io(&io_fa);
				unzFile pkg = unzOpen2(zip_path.utf8().get_data(), &io);
				if (!pkg) {
					dialog_error->set_text(TTR("Error opening package file, not in ZIP format."));
					dialog_error->popup_centered();
					return;
				}
				// Find the zip_root
				String zip_root;
				int ret = unzGoToFirstFil;
				while (ret == UNZ_OK) {
					unz_file_i
					char fname[16384];
					unzGetCurrentFileInfo(pkg, &info, fname, 16384, nullptr, 0, nullptr, 0);
					String name = String::utf8(fname);
					if (name.ends_wh("project.godot")) {
						zip_root = name.substr(0, name.rfind("project.godot"));
						break;
					}
					ret = unzGoToNextFil;
				}
				ret = unzGoToFirstFil;
				Vector<String> failed_files;
				while (ret == UNZ_OK) {