MM marks the following itinerary as valid, but doesn't it violate the stopover rule by having three stopovers in London?

1: CAI-LHR: 1st of 4 (Europe)
2: LHR-ARN: 2nd of 4 (Europe)
3: ARN-LHR: 3rd of 4 (Europe)
4: LHR-MIA: 1st of 1 (intercontinental entry to North America without immediate transit & departure)
5: MIA-GCM: 1st of 6 (North America)
6: GCM-MIA: 2nd of 6 (North America)
7: MIA-LAX: 1st of 1 (North America Transcon)
*7: MIA-LAX: 3rd of 6 (North America)
8: LAX-SAN: 4th of 6 (North America)
9: SAN-LAX: 5th of 6 (North America)
10: LAX-HKG: 1st of 1 (intercontinental entry to Asia without immediate transit & departure)
11: HKG-SIN: 1st of 4 (Asia)
12: SIN-HKG: 2nd of 4 (Asia)
13: HKG-HND: 3rd of 4 (Asia)
14: HND-HKG: 4th of 4 (Asia)
15: HKG-LHR: intercontinental
16: LHR-DOH: 4th of 4 (Europe)