Refugio Delacruz comes to California every year to enjoy the waves off the sunny California coast. In $2023,$ she stayed with her friends in their beach house from January $5$ to May $2$ before moving back to Arizona $($her domicile$)$ for the rest of the year. She supports her surfing hobby on the rental income from several inherited rental properties in Arizona. Which of the following statements is TRUE?

Refugio is:

Considered a California part$-$year resident, regardless of the number of months she spends in the state.

A nonresident of California because she is in California for a temporary or transitory purpose. She still maintains her home in Arizona.

A nonresident of her domicile state.

A part$-$year resident. She must pay tax on the net rental income realized during the period she stayed in California.