@3Summer3 Yes it depends on the context but “the Moon” is often spelled with a capital M to even further specify that we mean “Earth’s moon”.
“Earth’s moon” is used in contexts where “the moon” could be ambiguous.
If I am talking about Titan, a moon of Saturn, and I say “the moon”, you could be confused as to which one I’m referring to. This is because we often say “The moon” to mean “Earth’s moon”. For this reason, some have proposed calling our moon “Luna” to make things clearer.
Titan is the largest of Saturn’s moons. Compared to Earth’s moon, Titan is blah blah.
If I had written the below sentence instead, it would be really awkward.