How to install an Arduino-controlled bell without wireless solutions?

I am not familiar with electronics so please be understanding. I would like to control a doorbell in my house via an arduino microcontroller (doorbell button -> arduino -> doorbell). How do I make such an installation? I do not want to use wireless solutions.

I don't understand if you want to make a bell on the processor and don't know how to deal with the context of installing and powering this system, or do you just want the controller to "do the bell button" and don't know how to control the processor port to close the circuit of the bell installation (to trigger the already existing bell)?

You're right, I wasn't clear. I want to use an off-the-shelf, store-bought button and a bell somewhere, and put the controller in between. When you push the button at the door, the signal will go to the arduino and there the program will decide what to do (for example, pass the signal to the bell).
I know how to program this and how to connect on a prototype board with a piezo and a regular button. However, I have no idea what such wiring should look like and what components I will need in a real installation, I would not want to damage anything/anyone or set fire to it.

The task is not as trivial as it might seem at first.
Because after the fact, when the processor decides to "pass on" the signal, this signal may no longer be there (the main question is about the power supply of the processor circuit, whether it should be from the bell system or whether it will have its own). As a receiver of voltage from the bell installation (no matter whether 220V or low voltage). The safest way is to use an optocoupler with a current limiter adequate to the installation voltage. Conversely, you would use either a relay or a triac (assuming the processor circuit has its own power supply).
I don't know if I have understood the questions correctly and given a satisfactory answer. Alternatively, please be more specific with your question.

For a start, it would be useful to know if by chance your installation is not on 220V because these have also happened.

bobeer wrote:

First of all, it is worth knowing whether by chance your installation is not on 220V, because these have also happened.

They happened quite a long time ago, now they often " happen" 230V.

There is no installation yet, it is just being set up, and the control unit will have a separate power supply.
I would like the siren to be connected as in a standard installation, i.e. a simple pushbutton (without controller) can be connected without any drilling.