The question about what type of coverage your spouse had on 12/1/2021 is referring to any coverage under a High Deductible Health Plan (HDHP) that was in their own name. If your spouse was covered under the family plan in your name, then you would answer None for the spouse question.
The question is specifically asking about December 2021 because of a special 'last month rule' with regard to Health Savings Account (HSA) contributions. So even though you are working on your 2022 tax return, the question regarding 2021 is correct.