Not affiliated with the US Social Security Administration
You may want to contact Social Security directly for this, but his benefits likely will continue.
First, you mention you're paying the expenses of his incarceration. It appears benefits are suspended only if incarceration is at public expense :
The SSA cannot pay benefits to someone who, by court order, is confined in an institution at public expense in connection with a criminal case...
More importantly, is seems juveniles in general do not face a suspension of Social Security benefits :
In most cases where a juvenile commits a crime and the crime is handled under State juvenile statutes, the juvenile is not considered to have been "convicted" of that offense. If there is no conviction, the statutory requirements for title II prisoner suspension do not apply.
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