When introducing puzzles to children start with the most simplest ones possible.
Offer these puzzles individually one at a time, showing a new one upon mastery of the previous one. Start with the largest circle. The triangle and square are harder as unlike the circle, the child has to line up the edges correctly.
Don't worry if the baby only removes the pieces to begin with. It will take some time before they are able to put them back in.
The beauty of this puzzle is that it is self-correcting. It is the child who figures out they may have made an error, rather than an adult. These puzzles develop problem-solving skills and help with hand-eye coordination. The large pegs help with the three-finger grip.
Language of square, circle and triangle can be introduced.