Minecraft 1.13 and up (including 1.14.4) do not start up due to [LWJGL] Failed to load a library. All Minecraft versions prior to 1.13 work fine.

I am suspecting that this because the required OpenGL version is not supported, however I could find no evidence that Minecraft now requires a higher version than OpenGL 2.1, and my GPU, according to glxinfo and documentation on the internet, supports OpenGL 2.1 just fine.

I've tried this both on the classic java-based launcher, and MultiMC.