Backing up what Fafnir said (and for those who don't like reading Larry Coon), we can resign BBD for any amount up to and including the amount of the MLE using "early Bird" rights. By doing so, we wouldn't need to use our MLE.
Other teams are limited to giving BBD a deal for the amount of the MLE in the first two years of his next contract. However, after that, they can give him a big raise in the third year and beyond. If they do that, we could still match his contract, but I believe we'd have to use our MLE to do so. (This last part isn't completely clear to me. However, it should be a moot point, as I doubt any team wants to pay BBD more than the MLE amount in the third year of his deal).