Thanks for pointing that out. I knew LineageOS and /e/ already had the Android 13 builds for the Fairphone 4. First time I'm hearing about CalyxOS, and the official webpage isn't in-depth enough to point how much different they are from LineageOS. Their own two bundled apps look interesting (the backup and outbound connection control ones) based on the one/two sentences I've found, but overall seems like a smaller community than LineageOS.
Might give them a go.