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This is the part of your error file that is referencing the key culprit:

** Severe  ** Invalid Output:Variable or Output:Meter Name =HEATING COIL AIR HEATING ENERGY
**   ~~~   ** Entered in EnergyManagementSystem:Sensor=DELIVEREDHEATING_1
**   ~~~   ** Output:Variable Name not found

Basically, EnergyPlus is saying that HEATING COIL AIR HEATING ENERGY is not a valid Output:Variable object key name. The referenced DELIVEREDHEATING_1 is the name of a Coil:Heating:Fuel object in the model. From the I/O ref for this coil object, the output variable you want is Heating Coil Heating Energy (no "Air"). This may have been a renaming of output variables for this coil object to include "Air" for v8.8, then remove "Air" for v8.9, and the transition version tool didn't catch it correctly.

To fix this, you should alter your EnergyManagementSystem:Sensor object like so:

EnergyManagementSystem:Sensor,
  DeliveredHeating_1,      !- Name
  Furnace Heating Coil_1,  !- Output:Variable or Output:Meter Index Key Name
  Heating Coil Heating Energy;  !- Output:Variable or Output:Meter Name