I am sorry to report that you indeed due have a difficult weed to control.  The first link I am sending you is from the Ohio Weed Guide.  It is a good idea to know how it grows when trying to control it.

Ohio Weedguide (osu.edu)

The other two websites deal with control.  Of course you can continue to pull and dig it out, but that is very labor intensive and will not likely eradicate it.  Even using herbicides may take awhile to remove the troublesome plant.  Here are two links to aid in your efforts. Remember to follow all herbicide instructions and warnings if you choose a chemical control.

Invasive Plant Factsheet: Common mugwort | Integrated Pest Management (uconn.edu)

Mugwort | Extension | West Virginia University (wvu.edu)

I wish you the best of luck.  I have some weeds that are similarly difficult to control and it is a hard fought battle to keep them at bay. Best of luck. Please feel free to ask additional questions as needed.

Sincerely,