Similar for children of Civilian Component: two born BMH Dhekelia, one born BMH Rinteln. All processed through the Consulate/ High Commission at the time, all have UK passports so fingers crossed no worries. We actually managed one in Yorkshire as well.
Rather a lot of service to UK PLC between them: RAFVR {Regiment], Police, NHS.
As an grumpy aside I am never entirely happy to be labelled "British" when I am most definitely English, with no trace of anything Scots Irish Welsh or even Cornish [and certainly no Johny Foreigner] going back to at least 1700. I also grump a bit at "Forename" but have accepted defeat on that one.