Re: Uses two planes...
Go fly an English Electric Lightning! In UK service 1959-1988.
I believe there is still one taking passengers to see the curvature of the Earth from an airport in South Africa, although it only flies to 70,000 feet.
The highest unclassified altitude I've seen for a Lightning was 88,000 feet in 1984, 30% higher than the U2 it was 'intercepting'. (That is Ballistic height rather than sustained which is logged at only 87,000 feet at Mach 2.0!)
British aircraft history: Tiger Moth, Hurricane, Spitfire, Vulcan, Lightning, Harrier, Concorde