The short answer we have no idea. There's a grand total of precisely one passage that directly refers to Jesus as a tekton (τέκτων) or carpenter. That is Mark 6:3:
Isn't this the carpenter? Isn't this Mary's son and the brother of James, Joseph, Judas and Simon? Aren't his sisters here with us?" And they took offense at him.
Interestingly when Matthew copied his passage (much of Matthew is drawn from Mark) he changed the carpenter to Joseph. So Matthew thought it important to highlight Jospeh as the carpenter instead of Jesus. Matthew 13:55:
Isn't this the carpenter's son? Isn't his mother's name Mary, and aren't his brothers James, Joseph, Simon and Judas?
That's the sum total of sources we have on Jesus's carpentry. What muddies up the water is tekton, like many words, could have many meanings. Worker of wood (carpenter) is one of them. Another would be craftsman, i.e. a skilled worker with no particular emphasis on woodworking. It also was used less commonly to mean an unskilled laborer, something akin to a modern day laborer.
So what did the Gospel writers mean when they used tekton? We don't know. It's possible that they did mean a carpenter. Given the passages, it's also possible that they meant it more disparagingly. The word could imply a standard skill level, a high skill level, or a low skill level.
All of this also requires us to believe that Jesus existed at all. The mythicist position is a minority one, but it can't be ignored. It is possible that there never was a Jesus the man with any skill at carpentry.