Would it be stupid to pay off all of my Hecs Debt in one lump sum?

Hey guys,

I have recently come across some inheritance, $200k, but also have a significant Hecs debt of $110k which has come as a result of completing a Bachelor and a Masters.

I am stuck at a crossroads as to whether I should pay off all of my Hecs debt which would save myself a huge amount of money in the future with indexation fees whilst also increasing my borrowing power. On the contrary I could put this money towards a property, likely a $600k apartment due to borrowing power restrictions as I only earn $80k a year.

Thanks in advance!