Halfling wizard - strange patterns & internal compass

Halfling: Internal compass: When you roll a 1 on your Hope Die, you can reroll it.

Wizard: strange patterns: Choose a number between 1 and 12. When you roll that number on a Duality Die, gain a Hope or clear a Stress. You can change this number when you take a long rest.

If my pattern is set to 1. I roll my duality dice and get a 1 on my hope die. Do I gain a hope and get to reroll?