Folks, sorry for partial un-professional, this idea been 20 years, so... enjoy. RJ
Going to the figure 3, That's old design but shows the five stations, that are going to be 7, around that 9 inch wheel. The number of stations is not so important, not like a gear.
Next time, each gate-wheel is to have five tabs, not four (you can see the 90 degree spaced tabs maybe too far apart). For best re-engagement, this figure 3 suggests a five-part, that's 72 degrees per vane tab.
Now with some focus, on that green column (model), you can imagine, the little gate-wheel tab getting 'shoved aside', as the main wheel rotates, bringing that specific gate-wheel to travel behind the column.
Plus, it rotates, looking like to re-engage the same spoke stub, that it was pushed out from engaging.
Main issue for 3-D printer design, is that 'pinch point' for holding the end of each spoke. I'm maybe not so skilled at those specifics, but I envisioned a small magnet, for holding.
Sadly, any magnets might start some tasty rumours,...
"The thing does not run perpetual...uh, sorry but a little grafene lubricant is helpful, for the wheels"
No, apologies, only kidding there.