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Generally speaking they are not compatible. However with extensive effort and jury rigging it can be made to work, I do not recommend the approach however. This might be something you want to discuss with one of the second tier help desk people at NEST, the lower tier staff will generally say 'yes' it will work, that is because 95% of the systems on the market have more or less common or semi standard controls features.
Without having the full model number of your carrier furnace/air handler I cannot be 100% certain, only 98% certain based on the thermostat numbers you gave me.
When your system needs service under those conditions, virtually no technician will be up to sorting out the convolutions to say the least.
You will be better off buying a Carrier product made to work with your exact furnace/ air handler etc.
Look all this over let me know what you think, we can go from there without a time limit.
The more complex and proprietary a system is, the less likely you will be able to get a NEST thermostat to work, your base carrier system is quite complex in itself, and with zoning is well beyond the threshold of what I would want to see a NEST thermostat applied to.
Let me know what tier 2 nest help desk has to say about the situation, I will appreciate it.