Probably going to be Frigate. It's meant for NVR, and has easy time management tools for review, plus you can setup an easy monitor stream with RTSP or ON IF to watch live from elsewhere.

You could also engage it's inference for doing simple identification or animals and objects to tag clips where something happens in a Region of Interest.

ZoneMinder?

I uploaded the picture.. yet it didn't show on my end

Seems like it has a built in webserver for remote viewing. Does it have a slot for an SD Card?
The simplest solution would be to block the cameras internet access in your router/firewall and live stream through a browser while recording detected motion to an SD Card.
Link to the camera:
https://amcrest.com/qcam-ip2m822e-2mp-poe-weatherproof-ip66-bullet-ip-camera.html

I'm using two pi-zero-w to monitor our garage and boiler-room, works like a charm, you can even install a lightweight webserver like lighttpd and setup a livestream

I see the camera has PoE, will you use that and connect to the camera over a local network? If so you could just record the stream with ffmpeg

If possible, I want to run it on my jellyfin/DNS server (piefed)