I see where you're coming from, but none of this really means that justifying inductive reasoning through inductive reasoning isn't circular.
Hume himself thinks that inductive reasoning is grounded in "custom or habit", and thinks it's rational to proceed this way---a solution you'd probably agree with.
Hume himself thinks that inductive reasoning is grounded in "custom or habit", and thinks it's rational to proceed this way---a solution you'd probably agree with.