We would refer to it as a "rim-flow" pool / spa. But Infinity edge or perimeter overflow are also close enough.

and it requires a second pump

requires a full surge tank - fairly expensive..and this particular system has a few extra pumps.

How much would a 5 meters wide and 10 meters long rim flow pool cost, approximately ?

The price would vary greatly depending on the details in materials - i.e. plaster vs pebbletec vs bead crete vs full glass tile bottom - and thats just one item that can cause huge swings in price. That said you could spend $85k - $135k or more for a full rim-flow pool that size.

Thank you for the response.