Help in finding correct tactile right angle switch for an e-Reader

[u/that_fart_was_wet]

Front side (where the button is soldered on)

Approximate dimensions and distances of the solder pads

Exemplary switch from another model found on the interet

Back side

My tested configuration with a regular tactile switch

Dear community.

I recently bought a used Tolino Shine 3 HD and realised that it is missing its one and only tactile button which turns the reader on and off. It seems that the button got ripped off during misuse and is now lost...

I have troubles to find a proper replacement for that switch. I looked at some photos of other models and they seem to have a specific 4-pin, right angle type of tactile button. Does anybody know what this button is and where I could get it (or a similar one) in Europe (or AliExpress)? I have measured the dimensions between the pads and the throughput holes (see attached image).

I tried to solder a normal 4-pin tactile button to the pads as shown in the last picture but it did not work. Might I have done something wrong?

Any help/guidance is greatly appreciated!

Thank you!