If your spouse passed away in 2023 then you should be filing as Married Filing Jointly on your 2023 tax return.
There is no such filing status of "Married Head of Household". Your choices are Married filing separate, or Married filing joint. Since your spouse passed in 2023, you can (and should) file Married filing Joint. When you enter your spouse's information in the My Info section, make sure you check the box to indicate they passed away in 2023.
Very sorry for your loss. For the year that your spouse died, you can still file a joint return. That way, you will get the married filing jointly standard deduction of $27,700 (+ $1500 for each spouse 65 or older) which will lower the amount of income you are taxed on.
In My Info, you will need to indicate that your spouse died. When his name is in My Info, there is a screen early in the interview that asks "Do any of these apply to [name] ?’” where you will do that, and then a drop down will appear where you can enter the date he passed.
If you have qualifying dependent children you will be able to file as a qualifying surviving spouse (QSS) for the next two years after this tax return. Post back if you need further help.