Excellent video! Thank you so much!!! I am doing exactly the same thing today do a dishwasher soap door. The push button on the bottom has a sloped area that when pushed down by the latch on the door the push button part rotates upward and then comes back and latches onto the ledge on the door. In my case, only the door is having a problem. The tiny ledge on the door has been broken off mostly. I was thinking of using epoxy and then I thought about plastic welding and searched here. I was going to use a zip tie for donor plastic but I will now look for a better plastic.
