Examples of "realise a goal/plan/something", it means "to make it happen" or "to achieve things you hope for or plan for"
Cambridge: They finally realized their goal of buying a summer home.
The Independent: I intended to deliver them as soon as I returned to the UK, but more than two years passed before I had the time and funds necessary to realise my plan.
I think the following usage is wrong because "realise my plan / goal" means to make it happen. But, in the following context, it means "finishing a project plan", and I guess this is wrong. I need to comprehend this because I prepare for an English test, and they like these things for some reason. What do you think?
I wasn't able to write to you earlier because I had a lot of work. I had to realise a plan of a project and I was on a tight schedule.