Earth’s gravitational time dilation is completely negligible. The difference it makes in Earth’s age is much less than our uncertainty about that age.
Try calculating $\frac{2GM}{c^2R}$ to see how little the time dilation factor differs from $1$ A atat the surface. Hint: $\frac{2GM}{c^2}$ is about $9$ millimeters, while $R$ is about $6400$ kilometers!
The time dilation at the center of the Earth is a bit different but equally negligible.
You can start worrying about gravitational time dilation when you travel to a neutron star or a black hole. Otherwise, you can forget that it exists unless you are doing ultra-precise experiments, navigating interplanetary spacecraft, or designing GPS systems.