Hello Anthony, I remember Jack's Lasius Niger from last year.
Jack has done well in being so patient with his Queen.
I would suggest preparing a new tube by adding some clean water to it first, then a cotton wool plug.
I would then prepare a cover made of either red cellophane or cardboard which you can slide over the new tube.
Place a little food (on a tiny piece of foil) near the cotton plug.
Then using some tubing I'd connect the two tubes, making sure the new one has cotton wool wrapped round the tube she's moving into. Slide the tube cover over the new new to encourage her to move in.
Alternatively, find a plastic box, and lay the dirty tube in it, alongside the new tube. Close the box making sure there are some air holes.
You Google this, and look on YouTube too!
Good luck and let us no how things go!
PS: Another way is to connect the old test tube to a mini-outworld, then connect the new tube to the opposite end.
I've got that setup somewhere. Will arrange a photo.