In the usual course of events, tyres will wear out before they become unsafe through age.
Tyres degrade naturally through exposure to heat, sunlight and rain. It is a slow process - tyres can still be in service many years after production.
That’s why damage through aging is more common with tyres fitted to caravans or trailers, or cars only used occasionally, such as prestige models.
Check for signs of cracking on the sidewalls of tyres four or five years old, especially if the car is parked outside. Replace tyres if cracking is severe.