This is not a bug! When it says that the pet will be out of auto training, that is actually the last time that they can be put in a course. So, if your pet gets out at lets say 6:13 am and you get put into a 90 minute course at 6:10, then you still have to wait that 90 minutes to get out of the course.
If you have been "stuck" longer than a single course lasts let me know and that really is a bug.
Dexter by ❤