Your coach should also have a coach!!
Coaches who work with their clients also have to work on themselves. You wish your coach would invest in their own personal growth so they are more readily available and accessible to you as your coach.
Although with their experience and expertise, coaches are still human beings, and will get stuck just like the rest of us.
A coach who is serious about their practice will constantly remain evolved and show involvement in their work to keep themselves quite update. As a coach they should ensure they get the support they need in order to be able to better support you as their client.