Stacy nice to meet you my name is sky Mikesell I am based in Charlotte nc
In most states this would simply be considered abandonment and there is no need to go thru the effort and expense of eviction for just formality purposes.
You have possession of the house back change locks fast so they can't move back in (which has happened to me after someone officially moved out)
For proof of service since tenant did not leave forwarding address you are sti required to provide accounting of security deposit even if their text told you how to apply it.
So tally up all the expenses apply the deposit to it. Then put that accounting and their balance due in the mail and mail it to the house they just moved out of (your property)
In the past when judge has asked if I attempted to send the accounting to the tenant this has sufficed as I explained they left me no forwarding address but most people forward the mail with the postal service.
Good luck and take care
Sky mikesell