Smoked Cardamom Ice Cream with Salty Honey Caramel Swirl

half and half, plus another 1/2 cup ((12 ounces / 350 mL))

black cardamom pods, cracked

ground cardamom ((the regular stuff, i.e., black seeds from green pods))

a vanilla bean, split lengthwise and scraped

heavy cream ((8 ounces / 240 mL) )

large egg yolks

salt

organic cane sugar ((3.5 ounces / 100 grams))

water ((2 ounces / 60 mL) )

honey ((2.75 ounces / 80 grams))

strained lemon juice

sugar ((3.5 ounces / 100 grams))

unsalted butter ((.5 ounce / 15 grams))

heavy cream ((4 ounces / 120 grams))

flaky salt, such as Maldon ((or a few pinches of sea or kosher salt))