Life is about adapting and being balanced. People categorize words like alpha and beta into good and bad, alpha as going for what you want and beta as keeping safe. The ultimate goal is to integrate both aspects so that you get what you want as effectively as possible while doing it safely.
If you were to mindlessly cling to everything you wouldn't grow much, and if you were to mindlessly grab what you wanted you would have to face negative consequences later. So being a proud beta might seem paradoxical, but if you don't think too much it makes sense.