So. That’s definitely a micro switch, if you look to the left you can see a spacer/bracket. The switch usually has 2 through holes to screw to that bracket.

If your comfortable soldering, any similarly sized switch will work; but you can probably find replacement parts that are more or less pre-wired and just plug into the board.

You’ll have to adjust the end stop to get the homing correct; but its just fiddly, not difficult

If I'm not mistaken, that switch position is part of your calibration and if you print close to the edges on this axis, you are likely to fail. However, you can put anything that will fit in that space and trigger the button on contact in close to the same way. Like a little cut up piece of an old print or anything really. It just needs to be light enough to make a little tape hinge from the top and press in the micro switch button.

When the printer starts it has no idea where 0,0 home is, but it knows the approximate location of the switch. If anything about the switch changes, so will 0,0. This is not super critical or anything, it just has to be close. The switch contact has a relatively large area of uncertainty where it will trigger differently each time. All your print moves are relative to 0,0. So it doesn't matter if 0,0 moves so long as you have enough margin of error available in your calibration. If you print all the way to the last few millimeters of the build plate, and try to use this hack, that is all that won't work.

(Edit: I assume this had the little metal actuator arm that hit the white button and that arm broke off.)