The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts

The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts
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The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2 ... is A. `10` B. `5` C. `3` D. `0`
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