I don't think it freezing point changes with pressure.
If you stick a tank of water outside (Northern Canada), one open to atmosphere and one under your indicated pressure, both would freeze due to thermal losses. At two bar, the temperature difference is probably neglegible. You may wish to use a chemistry book or thermodynamic reference just to be sure, and post your search results to this forum.
I do know that freezing temperature does change with fluid flow, i.e. rivers freeze much later than lakes or still bodies.
Kenneth J Hueston, PEng
Principal
Sturni-Hueston Engineering Inc
Edmonton, Alberta Canada