At 20bar abs / -30degC downstream of the reboiler LCV going to the storage tank, it is subcooled liquid CO2 according to P-h diagram for CO2 ( subcooled by 10degC at 20bar abs), so no problems there. So temp control at rundown chiller HEX is probably working as it should.
Could there be an internal leak between refrigerant side and liquid CO2 side in this HEX? Can you tell us more about this chiller and refrigerant ?
a) Refrigerant description, composition, operating pressure range and temps in chiller HEX
b) Liquid Co2 operating press range, temps in chiller HEX
c) Chiller configuration, TEMA type, design press / temp