In the Treaty of Paris signed in 1783, the British agreed to the following:
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Recognize American independence: Yes, the British acknowledged the United States as a free and independent nation.
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Give up claims to lands north of the colonies, in Canada: No, the British retained control over Canada and did not give up claims to those lands.
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Give up claims to lands west of the colonies, to the Mississippi River: Yes, the British ceded control of territories west of the original thirteen colonies, recognizing American claims to that land up to the Mississippi River.
So, you can check the first and third boxes, but not the second.