I would have pegged him for Greek Orthodox.
https://www.atlantajewishtimes.com/shia-labeouf-converts-christianity/
Shia Labeouf Converts to Christianity
By ATLANTA JEWISH TIMES
October 28, 2014, 3:24 pm
Back in 2014, the Jewish Times reported he converted to Christianity..
So, 2014-2022 Christian
2022- now Catholic
And apparently had himself a Bar Mitzvah too..
His next movie project might convert him to Islam..