The terms shock, strut and dampers are readily confused.
Technically, the correct damper for your Teg is a shock.

In general, struts are designed to work both as a structural mounting point for the wheel hub and to provide a lower seat for the spring.
A common example of a strut suspension design is the DC5 RSX's front end.

The 94-01 Integra, on the other hand, has upper and lower wishbones. These locate the wheel hub and provide the spring seat, leaving the shock to operate solely as a damper.

But in general, you buy dampers by model application.

I would suggest the Koni Yellow adjustable shock and a name-brand spring like Eibach, H&R or Tein. I would also recommend buying a set of rear lower control arm bolts. It's common for the rear LCA bolts to seize and require cutting or torching to remove. An air wrench would be a great asset.

Lastly, welcome to the board. :cheers: