SurfaceIntegrate with non-Cartesian coordiantes

Questions
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1

With versions 13, and 14 SurfaceIntegrate simplifies a lot of writing. Is it possible to use spherical or other non-Cartesian coordinate charts. Here’s just a simple example:

SurfaceIntegrate[
 Grad[1/r, {r, \[Theta], \[Phi]}, 
  "Spherical"], {r, \[Theta], \[Phi]} \[Element] Sphere[]]
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