### Godot version

v4.2.dev.custom_build [c3b0a92c3]

### System information

Debian Linux X11 Xfce

### Issue description

In the following scene tree it is not possible to write anything in `LineEditB`.
![image](https://github.com/godotengine/godot/assets/6299227/ce5f696a-d86a-402f-98f7-6a762f15543e)

I would expect, that it is possible to focus `LineEditB` with a mouse click and write into it.

Regression from #58334

### Steps to reproduce

1. Load and run MRP
2. Mouse Click into the left LineEditB
3. Type Keyboard => No letters appear in the LineEditB

Variant:

1. Load and run MRP
2. Mouse Click into the right LineEditA
3. Mouse Click into the left LineEditB
4. Type Keyboard => Letters appear in LineEditA instead of LineEditB


### Minimal reproduction project

[BugKeyInputRouting.zip](https://github.com/godotengine/godot/files/11994804/BugKeyInputRouting.zip)

ERR_READ_THREAD_GUARD_V(VRS_DISABLED);
	return vrs_mode;
}
void Viewport::set_vrs_texture(Ref<Texture2D> p_texture) {
	ERR_MAIN_THREAD_GUARD;
	vrs_texture = p_texture;
	
	RID tex = p_texture.is_valid() ? p_texture->get_rid() : RID();
	RS::get_singleton()->viewport_set_vrs_texture(viewport, tex);
}
Ref<Texture2D> Viewport::get_vrs_texture() const {
	ERR_READ_THREAD_GUARD_V(Ref<Texture2D>());
	return vrs_texture;
}
DisplayServer::WindowID Viewport::get_window_id() const {
	ERR_READ_THREAD_GUARD_V(DisplayServer::INVALID_WINDOW_ID);
	return DisplayServer::MAIN_WINDOW_ID;
}
Viewport *Viewport::get_parent_viewport() const {