From your link:
Modern scholarship has almost universally acknowledged the authenticity of the reference to "the brother of Jesus, who was called Christ, whose name was James"
[13] (τὸν ἀδελφὸν Ἰησοῦ τοῦ λεγομένου Χριστοῦ, Ἰάκωβος ὄνομα αὐτῷ) and has rejected its being the result of later
Christian interpolation.
[14][98][1][15][18] Moreover, in comparison with Hegesippus' account of James' death, most scholars consider Josephus' to be the more historically reliable.
[97] However, a few scholars question the authenticity of the reference, based on various arguments, but primarily based on the observation that various details in
The Jewish War differ from it.
[99]
It sounds as though scholars generally agree that Josephus' works, collectively, support the existence of Jesus. And that, of at least the above referenced work, "the brother of Jesus, who was called Christ, whose name was James" is accepted "almost universally" as credible. I'd otherwise agree that while Josephus is considered a credible source with respect to the existence of Christ by most scholars (as other sources are, such as Tacitus' Annals), it isn't specific to whether or not he performed miracles.