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Hey Erijones,
Before I get into the answer, I have to say that they did many mistakes. It's almost hard to chose one. Let's just do one of the biggest mistakes that they made. Keep in mind I'm listing one because you are asking for "a weakness". Let me know if you need more.
Big mistake: <em>The British wore red coats. This means that they were SUPER easy to spot.</em>
An example is that you are hiding in a bush and are wearing a red coat. This leads to easily being spotted, this was a huge disadvantage for the British.
Thanks for using Brainly,
Eric