The 44% fall in the kwacha's value will make imports dearer but some argue it was long overdue.
The famous tree dates back to 17th Century Ghana and was reportedly planted by a renowned priest.
Mayor Ian Makone faces the sack in a wrangle that has already seen the ousting of 15 MPs.
Leaders of the Ogiek community say armed forest rangers are "pulling down houses with axes and hammers".
The cards used to be free - the new charge come amid a cost-of living crisis.
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