Bean if you want to try this bagel idea after your second week, just count the carbs in your total daily allowance of 20 or less. That's what I do, anyway. I just restrict my carb intake to <20 grams but eat foods that aren't on the induction list.
When you hit about 40 or 50 grams of carbohydrate intake you will be knocked out of ketosis. I want to stay in the induction stage as long as possible, I have so much to lose.
I don't think one plain 3 1/2 inch bagel is worth 36.3 carbs, it's not worth it to me, at any rate.
Atkins makes a low carb bagel that has 6 impact carbs in one half bagel. I don't think a bagel is that important to me either.