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It may depends on the answer you're seeking. If looking to assess energy loss/consumption due to the balcony, the eQuest or E+ or Openstudio can do it. However - it will be a manual process to define the geometry & relationships of this.

A step prior to any of the above is that the thermal performance needs to be quantified. How good or bad is the thermal bridging? In that case, I'd recommend THERM from LBNL. It does 2D heat Transfer calculations and should be able to help you determine the performance of this assemble. These results can then be used in the simulations above to compare/evaluate annual energy gain/loss/use.