I can't help with the software you requested, but can I ask a question or two and point out a few things you probably already know.
Most of the discussions on this thread deal with building PC or similar type ovens that typically reach 400-550F. I doubt you will find anyone attempting to build an oven this tiny that can reach 1300C. The obvious problem would be to find material that can withstand this high of a temperature. Fiberglass or even mineral wool, the two most common insulating materials used would not.
There is an excel ss referenced in the sticky above that computes wattage necessary to reach specified temperatures, but I doubt that it factors in all the specifics of reaching the temperature you note.
If you are unsuccessful in finding the calculations you need, have you considered just using a ramp/soak pid controller with a TC, and letting it hit and maintain the temperature set points you enter, without a concern over knowing the heat loss?
I'd really like to see a picture of this tiny oven when you get it complete.



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