Wait, you mean pour the vinegar directly into the steam tube, or just into the kettle and then boil?
Don't boil the kettle with vinegar in it, it is not necessary.
Putting vinegar in the kettle will de-scale the inside, if it needs it, but will do nothing for the tube.
For the tube to work properly it needs to be clear and unblocked, so it has a free flow of steam.
The end of the tube is visible in your photos. You should be able to see light through it, or pass a wire through it. If it is blocked, it needs unblocking. Carefully squirting vinegar down the tube could help to unblock it. Just be sure to rinse well afterwards, to avoid the vinegar corroding things it should not corrode.
As mentioned at the top of the thread, the general solution if a kettle stops working is to buy a new one. Kettles are not very repairable.