Sorry i completely missed this. If you don't see it, it's okay - I probalby miss any replys going forward.
Being upfront, I have no idea what I'm talking about. Just some arm chair engineer.
The poster needed 6 parts which is JUST into annoying. My personal thoughts are what they need isn't dispensing but alignment. Thinking deeper I can agree that weight might not the most efficient here.
They're building the aligning and dispensing tool but I argue that's over engineering the problem. If it's aligned it's VERY easy to count 6 via a mark along the track and just push it to the end against your finger and based on the mark you know you have exactly 6.
To me the hardest part to make "just work" is the dispensing, but if you remove that it becomes a much easier problem. There's enough sales volume, you can make a vertical fixture that is a stack of fixed aligning tracks. Your fingers become the dispenser. Sweep and move to the next track.
Just random thoughts.