Is this puddle deep enough cause any damage?

No. I've gone through deeper. If you need to get through more than say 3 inches of standing water, go slow. The engine will shut off and the car will go into EV mode and the risk of hydrolock becomes nil.

 

Technically, if you need to do this regularly, you need it trade it in for this:

 

I'd say as long as no water entered the cabin, you should be fine.

 

The car is fine with being splashed with water, which is what you did. Being submerged would be different.

 

.

 

I think the rule of thumb is to not exceed half the height of the Wheels or above the door sills such that it enters the car. For any car, really.

Now you know a road section to avoid in heavy rain at least.

 

Just make sure to avoid driving like this… it cracks me up every time.