Can a simulacrum heal non-hit point damage?

The spell Simulacrum, while open to interpretation on many fronts, is very clear on how to heal (repair) a damaged simulacrum, requiring a complex and costly process and a lab.

A complex process requiring at least 24 hours, 100 gp per hit point, and a fully equipped magical laboratory can repair damage to a simulacrum.

The spell mentions hit points directly, but a simulacrum can be damaged in many other ways such as ability damage, non-lethal Damage or even ability drain. It got me to wonder how to treat such types of damage.

I was thinking it would either :

  • Be immune to those types of damages (highly unlikely)
  • Heal those types of damages as a normal creature (by resting or using spells)
  • Heal those types of damages in a lab using the same process but without the cost (as the only cost mentioned is for hit points)
  • Be stuck with any such damages

I haven’t been able to find any definite answer on the internet.

How does a simulacrum treat those types of damage ?