I think I meet or exceed the recommended spec, and Store is not giving me any message to tell me I can't update due to system spec. v1.13.1 runs without any performance issues.
Windows 10 version 1903 OS build 18362.592
Intel i7 7500U
8GB RAM
x64 architecture
Radeon R7 M445
It looks like Windows Store needed an update. It was stuck in a loop updating a few apps. Tonight it installed an updated to itself. After a couple of attempts and a reset, that works, and then it updated a raft of other apps, including Minecraft, which brought it up to version 1.14. Hoorah!