Paint ha leaked behind door glazing

Please help! Last week we had a new front door fitted by someone we found through checkatrade. The door came glazed but untreated. He primed and then gloss painted for us. It was dark when he left and it looked ok. However, on looking at it in dalylight, I can now see that whilst he used tape around the edges, nonetheless both the primer and gloss red paint have got in behind the glass (I.e. Between the two pains of glass) and it looks terrible. Completely ruins the affect as it looks shoddy and messy. I am absolutely gutted at having spent the money on materials and the labour to end up with a poor quality job that seemingly we can't do anything about. Any advice as to possible solutions would be gratefully received. I can only think of eventually having the door reglazed, or buying sticky backed frosted glass effect stickers to put over the pains but don't really want to do this as it defeats the point in going for totally clear glazing in the first place and is likely to look cheap. No idea what it would cost to reglaze the door - I suspect more than the door itself is worth.