I see that manufacturer also makes a model that includes a humidity sensor. I wonder if you used 3 of them, with one sitting inside the living space, one outside, and another with the probe inserted into the earth berm, might provide some interesting comparison points. Perhaps a piece of rebar could be pushed into the earth under the umbrella through an existing gap in the wofati wall (or one is made and then patched back up) and then the probe is fed as deep as it will reach into the mass and the hole is patched up to prevent any air flow from the opening.
If it was put in at say 5-6 feet from the interior floor level, it should have several feet of earth above, so it will be sort of in the middle of it all. Then you can see how quickly the mass drops in temperature relative to outside extremes during winter. If the interior space gets too cold and the RMH is fired more often than for cooking, you'll also see how the mass responds over time. You might need to tape something protective over the wire itself (not the probe) to protect it from the soil, as I doubt it's designed for ground contact.
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