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The continents that are most bothered about this are the continents that are dependent on these African countries for their natural resources. Take for instance, France, which is already slowly being affected by the limited resources they are no longer receiving from the country they have been exploiting. From Burkina Faso, they have suspended all gold exports to France.
If there are more coups and resources to European colonizers are cut, many of those European countries will be affected. That is a danger for their economy.