Ring alarm not sounding from doorbell

I don’t know if I’m missing a setting or not but I would think that the ring doorbell, when pressed, would cause the ring alarm system inside to “ding-dong” as well. Is this not the case? Do I really need to buy the separate ring noisemaker and bypass the $120 alarm system?

The alarm to separate from doorbells. You can either use your existing doorbell or buy a Ring Chime.

Thanks for the quick reply