How do I hide a mouse pointer in GNOME 3?

Still happy to accept a better answer!

What happens to work for my current issue - which is Unturned (free game on Steam):

Create a file named blank containing cursor and mask data (white space matters):

#define blank_width 1
#define blank_height 1
#define blank_x_hot 0
#define blank_y_hot 0
static unsigned char blank_bits[] = { 
    0x00 };

Load it with:

xsetroot -cursor blank blank

When finished, you can load the default cursor with:

xsetroot -cursor_name left_ptr