Can I implement this moving average with missing periods using ARRAYFORMULA?

I have these columns:

• A person_id
• B date
• C cupcakes_eaten

There can be multiple rows with the same person_id and same date.

There can be days with zero rows for a particular person_id (so, missing periods).

I can use this this formula to calculate the 35-day moving average of cupcakes eaten:

=AVERAGEIFS(C:C, A:A, A2, B:B, ">="&B2-35, B:B, "<="&B2)

This works, and I can replicate this to all other rows.

Is there a more elegant way to do this using ArrayFormula so I don't have to replicate it to all the other rows?