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13mm to Picatinny rail adapter

This should work and no scope stop needed. Opens a lot wider than you need and self centering.

https://www.pyramydair.com/s/a/BKL_3_8_or_11mm_Dovetail_to_Weaver_Adapter_4_Long_Matte_Black/2923

Screenshot_2020-09-18-13-01-282.1600470477.png
Screenshot_2020-09-18-13-02-212.1600470477.png

 
The PA UTG low profile adapters may self center on a 13mm dovetail but what about the rings that clamp above them are They self centering as well? They won't be able to close properly since the UTG gets wider at the top Picatinny as well and may be offset to one side?

The BKL is the only sure fire way IMHO.

Otherwise a BSA 13mm dovetail mount would work.