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It’s not super-clear, since the July exams are a one-off case.
The CFA Institute official policy defines the retake cut-off to be ‘6 months’ rather than ‘not adjacent’:
Our policy is that there must be a minimum of six months between exams; this allows candidates 6-9 months between testing windows.
However you’re saying you can register for July while logged into your CFA Institute account?
Let me also check with CFA Institute and see if they have any comment on this.