https://www.youtube.com/watch?v=SUN_AviJzZ4
Also this is a great website and has songs
https://www.allaboutbirds.org/
I wish I knew my songs better, I know some. We are in the woods too and I suspect your songbird is an insect eater. We have vireos, peewees, thrushes and a few more I can't think of right now. Good luck.
I think my mystery birds may be Carolina Wrens. They have multiple calls, and one of those, as played on some, but not all audio clips of Carolina Wrens’ calls, sounds fairly close to what I’m hearing.
https://www.youtube.com/watch?v=KpOHUbiT0po
(2:27)
(A different call by the same bird precedes 2:27.)
That series of vids is another quite a good “calls” resource! I just stumbled onto it... :-)
Interestingly, on the clips containing the “video-video-video” call (or close), it’s never the primary call, or as “clear” (sounds like “video” repeated) as what I hear here. Here, I often ONLY hear “video-video-video” coming from the location of the call, and it is very clear. I joked to my wife once that it is almost as if the bird knows many(!) moons ago I used to do some work as a “VJ”, and is making a request. ;-)