You should not pull it out, the hole will be too much for the seal inside stuff to do it's job. (I've had the same on my ID.4 with Hankook tyres). Leave it in and take it to be repaired if it really is in the middle of the tread. Check with the tyre shop before going they will repair this type of tyre, as many CBA. They need to remove the seal inside away from the repair area to get a good repair and that's a load of work many cannot be arsed with. Some tyre shops will tell you these tyres cannot be repaired, but I believe this is not true if they put the effort in. Obviously if they need to spend extra time cleaning up the repair, expect to be charged a bit more but it should be cheaper than a new tyre.