I’m pretty sure that gravity is based on altitude, so that kinda refutes your point - although the earth is shaped like an egg, but it has the fancier term “oblate spheroid”.
Not only that.the gravity is based on time (9.8m*seconds per second). However, the gravity is also based on the mass and distance
So first we have three possible shapes of earth:
Then we get to proofs.
First, let's prove earth is not flat.
Assume earth is flat. Since we don't see earth spinning, it can't be spinning as we would see the sun 'moving' much quicker. So we have:
Then we get to the light. Since earth doesn't spin, the sky would be visible forever 24 hours on one hemisphere, but it would be 24 hours night on the other. Earth is not flat.
Now we assume earth is spherical. But the gravity is different wherever you live, so it can't be spherical. If it was spherical, all places would have the same gravity (maybe 9.8 meters/s?)
So we get that earth is egg-shaped.