You are considered to have been covered under a family plan, as the IRS says (here in Publication 969) that “If either spouse has family HDHP coverage, both spouses are treated as having family HDHP coverage.”
And your daughter would select the same thing for the eight months she was covered under his plan, (with her maximum contribution being an average reflecting the months with different kinds of coverage). However, her eligibility to make any contributions to her own HSA for 2022 will depend on her not being able to be claimed as a dependent on your return, as discussed here. In TurboTax, she’ll see “Another taxpayer can claim me...” in the “Personal Info” section, and any contributions will be “excess” if that’s checked...
Note also that your husband and you must split the family contribution limit amount equally, unless you agree on another allocation. When you’re doing a joint return in TurboTax, the program will bring up the “excess contribution” screens (advising you of your options) if the two spouses together contributed more than $7,300.
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