Don't buy that DeWalt, I've got one and it's crap - Google "red light flashing", which means it needs a new motor, mine burnt out after about 10 holes, it was repaired under warranty but the guy at the repair agents said it's a common problem (when I put it down on his counter he said straight away " red light flashing, needs new motor"). Now it's out if warranty and the clutch has failed on 2nd gear (after about 20 holes), a new one is over £50 and I believe needs special tools to replace!
I wish I'd got a used Makita 8406 of eBay but they were going for silly money for really old ones.
Back to your job, definitely take the drill bit out! Also if there's only a bit of brick left then carefully chain drill it from your ladder and as mentioned make good with a collar.