I realize there are designated smoking areas- so can I bring my cigarettes and/or vape into the stadium in my purse?

They will let you bring nicotine products (vapes,cigarettes,etc) into the park. The smoking area is actually an exit with a reentry so just make sure you keep your ticket on you or get your hand stamped.

Yes

Yes, you can bring lighters, cigarettes, and vaporizers into Busch Stadium. However, using any tobacco products or electronic cigarettes/vaporizers is prohibited in Busch Stadium. A designated smoking area is set up at Gate 1 to allow guests access in and out of the stadium to smoke. The designated smoking area is open from gate opening until the end of the 7th inning.