PSAT-> SAT score increase for International student- chances of flagging?

Yes but upon researching online I did discover around 350+ increases (in old SAT composite score terms) from PSAT or any previous SAT to SAT results in flagging, though I did not find a set criteria to trigger the investigation for the new SAT composite.

The embassy school offers the PSAT as practice since it’s a certified collegeboard agency so we take it there. However his score was reported on time, he is afraid there will be a complication later on due to such a steep increase?