Hi there,
If the cover worked before you can definitely keep the same structure.
You can structure a cover in 4 parts:
- Introduction, mentioning the position you are interested in and a specific element you find attractive for that company
- Why you are qualified for the job, where you can report 3 skills/stories from your CV, ideally related to leadership, impact, drive and or teamwork depending on the company
- Why you are interested in that particular firm, with 2-3 specific reasons
- Final remarks, mentioning again your interest and contacts
In part 2 you can write about experiences that show skills useful in consulting such as drive, problem-solving, leadership, teamwork and convincing others. In your case, you can update this particular part with the new experiences.
It is important that in part 3 you make your cover specific to a particular firm – the rule of thumb is, can you send the exact same cover to another consulting company if you change the name? If that’s the case, your cover is too generic.
Hope this helps,
Francesco