\[3x^2+3y^2+3z^2+2xy+4xz+6yz+3x+2y+z+1\]

Find the minimal value of the function \(f(x,y,z)\) above, where \(x,y\) and \(z\) are real numbers. Round your answer to three significant figures.

If you come to the conclusion that no such minimum exists, enter 0.666

This is an Algebra problem; Calculus solutions are frowned upon.

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