Applying for IB BB internships during other M&A internship

Hey everyone, I really need someone to shed some light here...

I am from continental Europe and I am currently finishing my master (business related) this summer. From August until December, I will pursue my 3th M&A internship at bank X (which will last 2 weeks longer than their usual internships). I am looking to get an off-cycle investment banking internship at a BB bank in London. I am planning to participate in a banking tour (Including GS, MS, JP Morgan,..) this September, which counts as a first recruiting round for investment banking internships. This tour will take place during my 3th internship, however I already discussed this with bank X and they gave their 'ok'. The problem is that after the banking tour, there will be additional recruiting rounds from interested banks and I don't know if bank X will give days off to attend these additional rounds.. I would like to think I 'bought' some time by starting my internship 2 weeks earlier than usual, however I am not sure if the bank thinks likewise.

Any advice is much appreciated, looking forward to your respones.