The short version
Animal Hospital runs as a sequence of shifts, each opening with the 'The doctor is arriving' style wave of check-ins and escalating in documented milestones: Shift 1 teaches the loop, Shift 2 is the safe shift (the wiki notes anomalies are never hostile then), the Head Banger window spans Shifts 2-5, the Ambulance Event starts on Shift 5 and recurs about every five shifts, and Liz's lore window runs through Shifts 10-21. No collected source fixes a universal total shift count — the live shift label is the truth for your run.