Scramble wheel water pump broken

My moose suddenly became very hot, the water temperature quickly rose into the red area. The reason: The plastic shovel wheel of the water pump is broken into several parts. When I pulled the pump out, a few plastic particles came to me – unfortunately not very many. With the idea to flush the cooling circuit a little through, I tipped a pot of water into the balance tank and saw what comes out below. With my shovel wheel puzzle but unfortunately always noc h a few parts. My plan is actually to just install a new pump… If the engine temperature is OK then nothing should be blocked too much. On the other hand, the thought that there are still some plastic particles of unknown size is bothering me. Does one of you have a tip for me? Or am I thinking too much?