Roots of an Interesting Polynomial

Algebra Level 4

Suppose the roots of $$x^3 + 3x^2 + 4x - 11$$ are $$\alpha, \beta, \gamma$$.

If the roots of $$x^3 + rx^2 + sx + t$$ are $$\alpha + \beta, \alpha + \gamma, \beta + \gamma$$, then find $$t$$.

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