### 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.
// Will be added last in the list, so make sure indexes match
	ERR_FAIL_COND(p_index != _scroll_children->get_child_count());
	Item &em = _pro_index];
	ERR_FAIL_COND(em.control != nullptr); // Already created
	ProjectList memnew(ProjectListItemControl);
	hb->add_theme_constant_override("separation", 10 * EDSCALE);
	hb->set_project_tle(!em.missing ? em.project_name : TTR("Missing Project"));
	hb->set_project_path(em.path);
	hb->set_tooltip_text(em.description);
	hb->set_tags(em.tags, this);
	hb->set_unsupported_features(em.unsupported_features);
	hb->set_is_favore(e);
	hb->set_is_missing(em.missing);
	hb->set_is_grayed(em.grayed);
	hb->connect("gui_input", callable_mp(this, &ProjectList::_panel_input).bind(hb));
	hb->connect("favore_pressed", callable_mp(this, &ProjectList::_favore_pressed).bind(hb));
#if !defined(ANDROID_ENABLED) && !defined(WEB_ENABLED)
	hb->connect("explore_pressed", callable_mp(this, &ProjectList::_show_project).bind(em.path));
#endif
	_scroll_children->add_child(hb);
	em.control = hb;
}
void ProjectList::set_search_term(String p_search_term) {