Excuse me, is this symptom of mine a common wart? Is there any quick treatment?

It is obviously wrong to call this condition verruca vulgaris. Although you didn't show the photo, you can see that it is not according to your description.

It should be that this part pierced something smaller without your consciousness. You just treated the skin, but the contents still exist, and of course they will form again. If the doctor uses a magnifying glass with a certain multiple, you can see that as long as you find it and take it out, it will be solved. It is best to use a laser.