I will be honest I didn't really get offended by the obvious reference to "Bitter Berties" because it's not the first time we've heard it and we know they are biased they always have been.
Having thought about it, what annoys me is it's like an individual there was clearly taunting City fans in general not just Pete("look at that Bitter Bertie typical City eh haha?"), we know it and they know it. If it was from somewhere like Paddy Power we know they "bantz" all the time and we'd be a bit silly to react in the same way but the BBC is supposed to be a different kettle of fish ie professional... the person who did it was unprofessional and they know it, what should happen is they acknowledge it, apologise(to Pete probably via letter but it's better than nothing and a statement apologising to the City fan base) then say it's been dealt with and we move on.
Instead they are basically either denying it or saying it's not a big deal by the way they've handled it, which is again unprofessional, when you are in certain positions there are certain expectations and responsibilities that rightfully come with all those perks they enjoy(such as the extra credibility they are given by default among other things). We put up with their biased anti-city bullshit enough while they tell us we are making something out of nothing if they are going to try and pull that same trick here and sit and tell us they don't have anything against City or City fans then they lose whatever little credibility they have left with us.