How can I determine the reason for the mismatch between the value of this infinite continued fraction and the expected result?

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How can I determine the reason for the mismatch between the value of this infinite continued fraction and the expected result? $$6.9431070487= \lim\limits_{n\rightarrow\infty}7- \frac{7}{129- \dfrac{4096}{761- \dfrac{177147}{\ddots- \dfrac{n^{10}+ 6n^{9}}{n^{5}+ \left ( n+ 1 \right )^{5}+ 6\left ( n+ 1 \right )^{4}}}}}$$ This is a conjecture got from Ramanujan Machine and $6.9431070487$ is also the expected result I am trying to compare to the value of the continued fraction. I hope to receive any relevant details or background information for help with.