The title says it all, for reference I took some screenshots:
Continuity:

Vanilla:

Only have fabric API and Continuity installed.

Could you send a log file?

latest.log

One of your textures is 1x1, which disables mipmaps. This is vanilla behavior.

[00:39:08] [Worker-Main-8/WARN]: Texture minecraft:continuity_reserved/baa60a420f550ec430fc3ec3b611f73a with size 1x1 limits mip level from 4 to 0
[00:39:08] [Worker-Main-8/WARN]: minecraft:textures/atlas/blocks.png: dropping miplevel from 4 to 0, because of minimum power of two: 1