Are there any countries in the world that, in the general case, act to restrict or discourage triple citizenship, but not dual citizenship? That is, is there a country for which the following are actually true:

1. The country does not act to restrict, restrain, or punish citizens who are holders of exactly two nationalities, or to prevent citizens from acquiring a total of two nationalities. (For example, by causing the citizen to lose their citizenship.) This must hold for most possible second nationalities.
2. The country does act to restrict, restrain, or punish citizens who are holders of more than two nationalities, or acts to prevent citizens from acquiring three total nationalities. This must hold for most possible third nationalities.

I ask because I've seen many people with the idea that dual citizenship and triple citizenship might be treated differently, but never any evidence that this actually happens. In Cabo Verde, for example, many people believe that one can have dual citizenship with the US, but not triple citizenship if the US is involved, but this is in principle false.