I have an LLC which is taxed as an s-corp. I live in DC but my LLC and s-corp are in Virginia. VA and DC have reciprocity. as the only shareholder who do i pay tax to?

I have an LLC that for tax purposes is an S-Corporation.  I live in Washington, dc but all the work conducted, and the LLC is registered in Virginia.  now i've figured out so far that the S-Corp is taxed in Virginia, and will need to be registered in VA but as the sole Shareholder that will recieve 100% of the flow through income i need to know do i pay estimated taxes to Virginia or DC?  DC and Virginia have a reciprocity agreement but i can't find anywhere if that only applies to w-2 employees or would also include s-corp profits/income, just looking for some clarification.

Thank you,

-Ryan