Jedaiah of Bedersi, AFAIK, did not author a book titled “Behinat ha-Dat”. One of his books with a similar name is his famous Behinat Olam.* Furthermore, at the end of the aforementioned book he affirms Maimonides thirteen principles except, as one publisher notes, he recasts then and rearranges its collocation (Behinat Olam, ch. 17, here or ch. 18 in this edition; publisher’s notes and explanation to the former 118ff.). A fairly relevant note is that Jedaiah was actuallly a staunch advocate of Maimonides’ philosophy and of the latter’s general support of scientific studies which motivated his petition to R. Solomon ibn Adret in having the ban on Maimonides books rescinded; this is expressed in Jedaiah’a Iggeret Hitnazlut (Apologetically Letter).
(Since the linked-to Wikipedia page does not provide a source to contend with I took the liberty to submit a divergent proposition. If the community here accepts and further confirms this answer correcting the Wikipedia page would be in order.)
*Another similar title of his is Ketav HaDa’at (Treatise on the Intellect), though I don’t think it was ever published from manuscript.