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The war had also brought to an end the "Old System" of alliances in Europe, In the years after the war, under the direction of Lord Sandwich, the British did try to re-establish this system. But after her surprising grand success against a coalition of great powers, European states such as Austria, The Dutch Republic, Sweden, Denmark-Norway, Ottoman Empire, and Russia now saw Britain as a greater threat than France and did not join them, while the Prussians were angered by what they considered a British betrayal in 1762. Consequently, when the American War of Independence turned into a global war between 1778–83, Britain found itself opposed by a strong coalition of European powers, and lacking any substantial ally.

What drove Prussia away from renewing its alliance with Britain?
Prussians were angered by what they considered a British betrayal in 1762