I have got myself in a right tangle here.

I'm from the UK and am flying from London to Hamburg on Saturday morning and the name on my flight ticket does not match the name on my covid pass app where I have both my vaccinations recorded. When I tried to upload the covid documents to my booking (which is required by BA before travel), it said the names do not match. Basically I have my official first name and surname (as on my passport) for my flight ticket but then my official middle name and surname on the covid nhs app, which show that I've had both vaccinations.
I'm in a slight panic here, what do I need to do please!? Anyone from the UK will know I hope...???
I can't be the only one here...