Modulus of a Complex Expression

Let $z = 3 + 4i$. Calculate the modulus of the complex number $z^2 - 2z + 5$. Provide your answer as a decimal to three decimal places.

Recall that the modulus of a complex number $a + bi$ is given by the formula $$|a + bi| = \\sqrt{a^2 + b^2}.$$ This question involves operations with complex numbers and requires simplification before finding the modulus.