### 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.
ERR_FAIL_COND(!renderer_button_group->get_pressed_button());
	String renderer_type = renderer_button_group->get_pressed_button()->get_meta(SNAME("rendering_method"));
	if (renderer_type == "forward_plus") {
		renderer_info->set_text(
				String::utf8("•  ") + TTR("Supports desktop platforms only.") +
				String::utf8("\n•  ") + TTR("Advanced 3D graphics available.") +
				String::utf8("\n•  ") + TTR("Can scale to large complex scenes.") +
				String::utf8("\n•  ") + TTR("Uses RenderingDevice backend.") +
				String::utf8("\n•  ") + TTR("Slower rendering of simple scenes."));
	} else if (renderer_type == "mobile") {
		renderer_info->set_text(
				String::utf8("•  ") + TTR("Supports desktop + mobile platforms.") +
				String::utf8("\n•  ") + TTR("Less advanced 3D graphics.") +
				String::utf8("\n•  ") + TTR("Less scalable for complex scenes.") +
				String::utf8("\n•  ") + TTR("Uses RenderingDevice backend.") +
				String::utf8("\n•  ") + TTR("Fast rendering of simple scenes."));
	} else if (renderer_type == "gl_compatibily") {
		renderer_info->set_text(
				String::utf8("•  ") + TTR("Supports desktop, mobile + web platforms.") +
				String::utf8("\n•  ") + TTR("Least advanced 3D graphics (currently work-in-progress).") +
				String::utf8("\n•  ") + TTR("Intended for low-end/older devices.") +
				String::utf8("\n•  ") + TTR("Uses OpenGL 3 backend (OpenGL 3.3/ES 3.0/WebGL2).") +
				String::utf8("\n•  ") + TTR("Fastest rendering of simple scenes."));
	} else {
		WARN_PRINT("Unknown renderer type. Please report this as a bug on GHub.");
	}
}
void ProjectDialog::_remove_created_folder() {