Well it does, but I understand your comment. The bell is just a small part of a larger project which I may have neglect to mention as I did not see any relevance. The bell will mostlikely be operated by an attiny or an arduino.
The end goal is making a railway telegraph blocksignaling module.
The thing will get a 3 position toggle switch as well as a separate button or lever. With the toggle switch you can set any of the 3 LEDs on the other side and with the button/lever you get to ping the bell on the other side.
That aliexpress module seems like a good solution, worth checking out.
The pinging sound you hear in the clip is by no means simple. Due to their great inharmonicity and erratic sound waveform, bells in general are particularly difficult to synthesize right. At any rate, you'll need to control parameters such as attack, decay, sustain and release. The tone library will certainly fail at such a task.
I love to see this kinds of different expertise on a forum like this. Thank you, most informative.
An arduino-less solution is not yet from the table. But it would make life easier 
Kind regards and thnx,
Bas