How did the British respond after their loss at the Battle of Saratoga in 1777?

Question

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After their loss at the Battle of Saratoga, the British attempted to broker a negotiated settlement with the Americans. This effort was led by British General John Burgoyne, who had surrendered at Saratoga. The British recognized that the war was becoming increasingly costly and that a negotiated settlement might be the best way to end the conflict. However, the Americans were unwilling to negotiate until they had achieved full independence.

How Did the British Respond After Their Loss at the Battle