Connected textures with Continuity mod on Forge using Sinytra Connector and Lazurite don't work while Blueprint is installed.

First image without Blueprint mod, second image with it installed.

Blueprint is not designed to support Fabric, so any issues you get with it on Fabric are not our responsibility.
Also, I have no idea what could be causing this issue because I am unfamiliar with the codebases of Continuity and Connector.
It would be better to open this issue on Connector because they can more likely explain the cause.