Jann said that the anode broke off, not unscrewed from the plug. Bacchus suggestion of anode with a center rod will help with that, but so will shortening your inspection interval so the anodes aren’t so fragile.
My biggest problem is not being able to get the anode out of the plug after I have removed them. I much prefer to reuse the plug if I can.
I normally tighten the anode in the plug with a pliers, but I think on the plug/anode combinations that I get from the factory, I may actually remove and reinsert the anode from the plug before I install the plug so I can remove it later.