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their plan is to exterminate us
Not completely. Fundamentally, machines are also robots and how they have increasingly dominated agrarian countries even since the beginning of the last century. The question is whether farm workers stop working? The answer is no. This statistic will probably prove that you won't lose your opportunity:
"85% Of Jobs That Will Exist In 2030 Haven't Been Invented Yet"A small example, 20 years ago you probably never imagined that there were opportunities for earning activities such as youtuber, advertising design, and other freelance work. Then it will also happen in the future. You just need to adapt to it.
The purpose of technology is to facilitate human work either repetitively or administratively, that's all.
Correct, with the technological development we are experimenting it is a mistake to think that just because one or two generations ago a person could work for 40 years on the same business doing the same work during that time then things are going to remain the same, people will have to adapt and they will have several different occupations during their lives, whether this is because they simply switched career paths or because what they did before was not profitable anymore or because now their jobs have been automated, the economy will require that we are able to adapt ourselves to the best of our ability, and the ones which are the best at this will reap the greatest benefits.