Q.trying to identify species of cactus
The overall appearance says..Christmas cactus (or other holiday). But, if given correct lighting and care, this cactus blooms every 3 months. Huge deep red blooms, and I have had the great-grandmother plant for 25 years now. Every year, blooms every 3 months. Also, the older foliage near the base develops a triangular/3 sided stem. Photos attached.
It is an easter cactus based on identification of bloom and stem segments. Holiday cacti have the potential to bloom 2-3 times a year if the conditions are just right.
https://www.gardeningknowhow.com/ornamental/cacti-succulents/easter-cactus/caring-for-easter-cactus.htm