Line 2 baking sheets with silicone baking mats. Set 5 to 6 lollipop sticks on each sheet, leaving plenty of space between them. Coat a large, heatproof spouted measuring cup with nonstick cooking spray.
In a small bowl, whisk together cream and vanilla bean paste. In a medium saucepan, stir together sugar, ½ cup water, corn syrup, salt, and cream of