Gemma and her husband Evan decided to separate in May, $2023,$ but filed no paperwork with any court. They do not wish to file a joint return for $2023.$ They have two children Abigail $(3)$ and Thomas $(8)$ who lived with both parents until the separation and then with Gemma, except for twice$-$a$-$month weekend visits with their dad after Evan moved out on October $1,2023.$ What filing status will Gemma use on her $2023$ tax return?

Head of Household.

Married filing jointly.

Married filing separately.

Single.