Losing hair in nose

We have recently moved and my 8 year old mixed pup is losing hair in his nose. I can’t figure out why

Hello! - me neither, but I wonder about demodex mites (a non itchy mite of the follicles, causes hair-loss); I wonder about Ringworm (a fungal disease) and I wonder about autoimmune diseases (where the pets' own immune system attacks the body, usually where the inside of the body meets the outside).   Another group of possibilities for non itchy (I'm assuming non itchy, otherwise please let me know?) hair loss around the face is endocrine disease (related to hormones).  Cancer may be a possibility.  A lot of the things I've mentioned might occur in conjunction with other stresses on the body eg that have weakened the immune system.  To identify the cause, your vets may need to take samples etc. to be sure.  Ringworm, for example, may be contagious to humans, so early identification and safety measures would be important - particularly if anyone in the house in immunocompromised.  All the best coming to the answer and please do let us know where your vet takes the case from here.

Thank you so much and no not itchy. We were able to get an appointment with the vet but it isn’t for 6 weeks!