You can purchase or inherit property. Nobody forces you to turn that property into an Airbnb. You have no particular right to some other property, one to which you have no ownership claim, in the city in which you happen to be born. That's not how property works.

If you think property is too expensive in your city, consider building more of it instead of imposing arbitrary restrictions on demand.

Building more housing increases population, which increases opportunity. Opportunity is the reason people flock to cities. More opportunity means greater income, means higher real estate prices.

Bollocks. Cities like Amsterdam and Barcelona are historically constricted by nature. Not everybody is born with wealthy parents, a home to inherit or a job that will pay for one. Those cities won't grow much bigger than they are, nor should they. And those that are born there have more right to live there than tourists have to monopolize the space. The only thing AirBnB does is to line their own pockets at the expense of the locals. Hotels were a thing long before AirBnB turned social housing and regular apartments into a source of income for those wealthy enough to buy up the property. It's un-ethical.

Libertarian bullshit and 'the market' have done enough damage. See also: commercial healthcare.