The LUBA mini 1500 will likely detect the garden hose as an obstacle and attempt to navigate around it rather than driving over it. Most robotic mowers with vision or obstacle detection systems (like the LUBA) are designed to identify objects on the lawn.

However, it's generally best practice to remove hoses from the lawn before mowing, as there's still a small risk the mower might attempt to go over it, which could potentially damage either the hose or the mower's cutting system. I will give this a go today with my LUBA Mini and see if it avoids it. The only thing is that I do not have a traditional green garden hose but a slightly wider flat hose as I am pumping the water out from my well.