The product is outdated. Still the twitter logo, no X, that's how outdated it is.
No way to add bluesky, it's just not there and the font awesome integration is so old that it doesn't include the icon either (it was added to font awesome in version 6.5.2, released in april 2024).

I requested a feature in 2022, to which I got the reply that they'd work on it and it is still not a thing.