The Hebrew Web Site https://www.kikar.co.il/372812.html shows Stoudemire celebrating with the Rabbi Avraham Yishayahu Kanievsky, oldest son of Charedi leader, Rabbi Chaim Kanievsky.
Stoudemire learns Torah with a Chevruta at the Charedi Kollel Orchot Yosher in Bnei Brak.
Rabbi Asher Weiss in a Hebrew article at https://tvunah.org/%D7%A9%D7%99%D7%A0%D7%95%D7%99-%D7%94%D7%A9%D7%9D-%D7%9C%D7%92%D7%A8/
states there is not an outright obligation for the convert to change his name, but provides sources why it is worthwhile.
Rambam: Changing One’s Name As A Tool For Teshuva
Hilchot Teshuva 2:4 as translated by https://www.chabad.org/library/article_cdo/aid/911891/jewish/Teshuvah-Chapter-Two.htm
Among the paths of repentance is for the penitent to
a) constantly call out before G-d, crying and entreating;
b) to perform charity according to his potential;
c) to separate himself far from the object of his sin;
d) to change his name, as if to say “I am a different person and not the same one who sinned;”
e) to change his behavior in its entirety to the good and the path of righteousness; and f) to travel in exile from his home. Exile atones for sin because it causes a person to be submissive, humble, and meek of spirit.
Here is a Wikipedia link if someone is curious about Yehoshafat Stoudemire’s background, before the conversion: