An alternative is to get a cane with an ice spike or possibly hiking/walking poles. I’d hate to slip & land on that spike, there’s probably something safer already made for this exact purpose
Ex Vive Cane Tips For Ice - All Terrain Heavy Duty Metal Retractable 4-Prong Hiking Attachment - Replacement Grip for Walking Sticks, Trekking Pole, Folding, Crutches - Tip Points for Winter, Snow Safety https://www.amazon.ca/dp/B072LGTTPQ/ref=cm_sw_r_cp_api_fabt1_Fv0UFb8AEJYAN?_encoding=UTF8&psc=1
Can I just say that 3 weeks into no weight bearing- forearm crutches are superior to armpit style. Estimated another 7 weeks to go before I'm crutch free too.
Not sure where you are in the world but I also got the little flip down spikes that are great in the snow/ice. Link to something similar below.