For the Swarmkeeper ranger's Gathered Swarm feature, does being moved by the swarm provoke opportunity attacks?

Question

The Swarmkeeper ranger from Tasha's Cauldron of Everything (p. 60) has the Gathered Swarm feature, which provides the following benefit:

Once on each of your turns, you can cause the swarm to assist you in one of the following ways, immediately after you hit a creature with an attack:

• [...]
• You are moved by the swarm 5 feet horizontally in a direction of your choice.

If you use this feature to leave the reach of a creature, does this movement provoke an opportunity attack?

Answer 1

No, it doesn't

The rules for opportunity attacks state the following (emphasis mine):

You don’t provoke an opportunity attack when you teleport or when someone or something moves you without using your movement, action, or reaction.

Gathered Swarm clearly states that the swarm moves you. Furthermore, this movement does not use your action (as it is a rider effect on an attack), and it doesn't use your own movement. Therefore, you do not provoke an opportunity attack.