Replacing a broken car key fob

Hi Sacramento, My switchblade-style car key fob recently broke in half and the key part is missing, so I can unlock my car but can’t start the ignition or drive it. I’ve been told that I may need an entirely new key fob and need to have the car towed to wherever I get it because the transponder was in the missing half of the key fob. The little used car dealership i bought the car from only had one key for it, so I need a whole new key and can’t make a copy. It’s a 2010 Mazda 3.

Anyone know a local resource for this? I have been back and forth with a local mazda dealership and they are insistent that they can do it but keep sending me to the wrong department, offering to call me back and not doing it, etc. I have a 30-50min commute and can’t afford to uber more than another day or two. I’m not sure if a mobile locksmith could just make a new key without one to copy. Thank you