That's a really interesting question! When I need to apologize frequently in English, I often use 'Sorry to keep bothering you' – it carries both the repetition and the polite nuance.
I learned this phrasing from watching British dramas where characters maintain professionalism while acknowledging repeated interruptions. The key is balancing sincerity without sounding overly formal. In casual settings, 'My bad again' works among friends, but for business emails, I'd recommend 'Apologies for the repeated messages.'
Cultural context matters too. American colleagues seem to prefer 'I appreciate your patience' as preamble, while Australian acquaintances respond better to self-deprecating humor like 'Here I go again...'