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I can find one that exists, history found here: https://backpack.tf/item/9450267613
My bot sold for 12.5 keys on 04/02/21 to someone that seems to be accruing unusual King Cardbeards: https://backpack.tf/profiles/76561198207541888
Quick sold to the bot for 9k34 ref on 28/01/21
Gladiator stats shows a sold price for 14 keys on the 21/01/21 move from Protein Shake bot to Chicken Burgers (cannot confirm through backpack compare)
Screens for those found here: https://imgur.com/a/xj0XIgN
I can't trace any of the other moves. Ignoring the 9k34 as a quicksale dump, rounding the lower end to 12 keys and giving 14 keys as the top end of the suggested range.
Compare for the 14 sale https://backpack.tf/profiles/76561199028972562#!/compare/1611187200/1611705600
https://backpack.tf/profiles/76561198088229001#!/compare/1606780800/1606867200
possible sale at 12
Technically 12 keys 26 ref rounds up, but its a small detail and the potential 12 sale supports this suggestion as it is currently, so this should be fine.
12keys+26ref rounds up to 13, not down to 12