PowerBi Measure for Appointment types

I am trying to create a measure looking at the no show rate for appointment types.

For my numerator I have the number of no shows appointments that were documented. I think I need to add the appointment types I am looking for- Vaccine, same day vaccine, and flu vaccine, as I only want the no show rate for these appointment types.

The denominator is where I run into problems. I want to create a denominator that counts all the appointment slot statuses, however, I only want it to count for the appointment types that are 'vaccine', 'flu vaccine', and 'same day vaccine'. I have tried using the following formula but the results are not accurate as it takes in all appointment types and not only the three desired. How should I change my denominator formula?

CALCULATE(DISTINCTCOUNT('New Appointment_Fact'[prnt apptid]), 'New Appointment_Fact'[appttype]="Vaccine", 'New Appointment_Fact'[appttype]="Same Day Vaccine", 'New Appointment_Fact'[apptslotstatus]="4 - Charge Entered", 'New Appointment_Fact'[apptslotstatus]= "f - Filled", 'New Appointment_Fact'[apptslotstatus]= "2 - Checked In", 'New Appointment_Fact'[apptslotstatus]= "3 - Checked Out" || 'New Appointment_Fact'[apptslotstatus] = "x - Cancelled") + CALCULATE(DISTINCTCOUNT('New Appointment_Fact'[apptid]), 'New Appointment_Fact'[apptslotstatus] = "o - Open Slot")