3 weeks ago,diagnosed with a avulsion fracture, middle finger. plaster tape splint and fracture appointment, should i be getting a proper splint?

A splint should work: Avulsion fractures generally heal by them selves as long as you immobilize the bone. The plaster tape should work, but you need to immobilize the digit until it heals, maybe 3-4 weeks or so

Avulsion fractures: in the finger can be minor with a small fragment but accompanied by a large soft tissue injury to ligaments and tendons, or can have a large fracture that compromises the stability of the joint, Often treatment, the of splint, splint position, length of spinning depends upon many factors. Best to follow up with a hand surgeon. A splint from the ER may be fine at first but can lead to issues