To make something conform to or adopt the style, principles, or authority of the Bourbon dynasty.
From 'Bourbon' plus the suffix '-ize' meaning 'to make' or 'to cause to become.' The '-ize' suffix is productive in English for creating verbs from nouns.
The suffix '-ize' is incredibly useful—it lets us turn almost any noun into a verb, so 'bourbonize' means to impose that authoritarian Bourbon style on something, which is exactly what happened when they governed!
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