Help feeding from stack of 4 discs

[sanddrag]

We could use a little help with ideas for our feeding/indexing mechanism. We are holding the discs in a stack of 4 and pulling out the bottom one to send into the shooter. The stack of 4 is gravity-fed top-loading.

We have a problem with the discs nesting inside of one another. Two issues arise: If tilted one way, both discs want to enter the shooter (the top one over the bottom one). If tilted the other way, the hook that pulls the disc wants to pull both, since they are nested one over the other. We've devised a solution to keep them apart and it allows us to fire 4 discs in 2 seconds and make every shot. However, putting them into the stack is somewhat particular and works only for either our floor pickup or feeder station slot, not both simultaneously since the floor pickup puts the discs into the stack from one side, and the feeder slot puts them in from the other side.

We have a solid 12 hours into devising a solution and haven't got it yet. We've tried brushes and other such flexible things with mixed results. Anyone else bottom-feeding from a top-loading stack of 4? Any ideas?