The handbrake will be part of the secondary system.
Brake systems should be designed such that any single failure leaves the vehicle with the ability to 'stop' - albeit with a reduced performance level.
If you lost the 'primary' circuit you would still have reduced footbrake performance (via the servo) and also secondary braking via the handbrake.
Losing the secondary air removes the ability to replenish the spring brake (though you could arrange a double check valve from the primary service reservoir).
Later models would have multiple circuit protection valves guaranteeing air supply when other circuits had 'failed'.
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