I'm thinking something like this but horizontal.
When stored, it is face down inside a slot.
There is a torsion / twist type spring trying to flip it vertical as exits its slot. Probably won't flip vertical until the last 10 % of its stroke. Maybe a roller on the top outer edge of the slot to guide it and so it won't rub as the spring tries to flip it vertical on its way out of the slot. The opposite happens when pulled back in the slot.
I like the CD disk loading mechanism from the other thread but you need more stroke.
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