Temporary presence in DC and filing for D-40B

I moved from CA to DC for work. I lived in DC for less than a month in an Airbnb while searching for an apartment in NOVA. I eventually found an apartment in VA and moved before my Airbnb ends.

 

I spent in total less than 30 days in DC, but during this period of time in DC, I received paychecks from work, and there were DC state tax withheld. 

 

Do I need to file DC taxes? Can I file for D-40B for tax refund? If so, where do I owe this portion of state income tax to?