### Godot version

4.0.dev

### System information

win11，core i7 13700,  GTX4090

### Issue description

Just look at this gif.

![screenshots](https://user-images.githubusercontent.com/1620585/225354749-6ea17059-95b2-45e0-9765-8505e92726eb.gif)

It seems that it was block by Static Type Checking.

![image](https://user-images.githubusercontent.com/1620585/225362874-507ff0ec-c6d8-4a25-9a16-89db1885ad02.png)

If it's right.

Why it doesn't just disable other option except for String and StringName?

### Steps to reproduce

1. first select string type
2. input a text
3. change type
4. change back to string  -- it don't work
5. change to stringname -- it works
6. change back to string -- it works

### Minimal reproduction project

I think it don't need reproduction project.
for (int i = 0; i < Variant::VARIANT_MAX; i++) {
				if (i > 0) {
					vtypes += ",";
				}
				vtypes += Variant::get_type_name(Variant::Type(i));
			}
			for (int i = 0; i < args.size(); i++) {
				p_list->push_back(PropertyInfo(Variant::INT, vformat("%s/%d/%s", PNAME("args"), i, PNAME("type")), PROPERTY_HINT_ENUM, vtypes));
				if (args[i].get_type() != Variant::NIL) {
					p_list->push_back(PropertyInfo(args[i].get_type(), vformat("%s/%d/%s", PNAME("args"), i, PNAME("value"))));
				}
			}
		} break;
		case Animation::TYPE_BEZIER: {
			Animation::HandleMode hm = animation->bezier_track_get_key_handle_mode(track, key);
			p_list->push_back(PropertyInfo(Variant::FLOAT, PNAME("value")));
			if (hm == Animation::HANDLE_MODE_LINEAR) {
				p_list->push_back(PropertyInfo(Variant::VECTOR2, PNAME("in_handle"), PROPERTY_HINT_NONE, "", PROPERTY_USAGE_DEFAULT | PROPERTY_USAGE_READ_ONLY));
				p_list->push_back(PropertyInfo(Variant::VECTOR2, PNAME("out_handle"), PROPERTY_HINT_NONE, "", PROPERTY_USAGE_DEFAULT | PROPERTY_USAGE_READ_ONLY));
			} else {
				p_list->push_back(PropertyInfo(Variant::VECTOR2, PNAME("in_handle")));
				p_list->push_back(PropertyInfo(Variant::VECTOR2, PNAME("out_handle")));
			}
			p_list->push_back(PropertyInfo(Variant::INT, PNAME("handle_mode"), PROPERTY_HINT_ENUM, "Free,Linear,Balanced,Mirrored"));
		} break;
		case Animation::TYPE_AUDIO: {
			p_list->push_back(PropertyInfo(Variant::OBJECT, PNAME("stream"), PROPERTY_HINT_RESOURCE_TYPE, "AudioStream"));
			p_list->push_back(PropertyInfo(Variant::FLOAT, PNAME("start_offset"), PROPERTY_HINT_RANGE, "0,3600,0.0001,or_greater"));
			p_list->push_back(PropertyInfo(Variant::FLOAT, PNAME("end_offset"), PROPERTY_HINT_RANGE, "0,3600,0.0001,or_greater"));
		} break;