Nevermind, USA and France are actually already qualified.
We already know that 4th continent will come in men's event, this means that USA qualifies. Furthermore, there is only one tripartite place on offer for men's OR women's event. Tripartite quotas can only be assigned to gymnasts that competed at 2015 World Championships. There we no tripartite nations in women's event so France is assured of quota.
In men's event we only had Angola at the World Championships (from tripartite nations). If they applied, they will get it, as simple as that.