Should I ask my dentist to not charge me for the bridge because of error?

My dentist put in a bridge on a molar. This was at least a year ago. Ever since I have had it,big chunks of food get caught between it and the next tooth, which wont come out any other way except poking it through with a brush pick I had to buy just for that purpose (the chunks were too big for floss, and floss wont even go through there because the bridge is tight on top but there is space further down towards the gum). I am supposed to have it replaced or the tooth extracted today because of course, inevitably it got infected (with food getting caught there every time I ate). My question is should I demand my dentist do the work for free because it clearly was not preventable because of the way the bridge was fitted the food was gong to get caught there no matter what.