Calculate area given a coplanar pointcloud

[pm222]

Hi!
I have a pointcloud which contains coplanar 3d points. I'd like to calculate the surface area what could cover these points. How should I start? I tried to add mesh to the pointcloud with TriangleMesh.create_from_point_cloud_ball_pivoting, but the result is not satisfying, and the mesh area is wrong because of the errors of the mesh. Examples uploaded.
Pointcloud:

Mesh:

[benjaminum]

Are these points aligned to a grid?