FinCin BOI for the Trust of s401k

I do not have an LLC in my self-directed s401k (yet anyways). But I do have an EIN for the Trust, set up by KKOS lawfirm. Does having the EIN mean I need to do BOI for the Trust? The money is in a bank account at Titan Bank currently. I do understand that if there were an LLC I would need to do the BOI report, but not sure if the s401K Trust needs to? Thank you in advance.