We have barely been able to do that for animals which are still living, but lost their natural environment. Assuming we can recreate a maintain an accurate environment to ensure the bird’s long term success is way, way too optimistic.
The time-honored solution for this is to exterminate invasive species on a small nearby island, and make that a reserve. New Zealand has employed extensively with quite a bit of success, and there are numerous small, uninhabited islands in Mauritius that seem like plausible options.
