[aces_dad]

Your assumption is not valid. Not all bad kicker 8's call here.

But if it is, you don't need us to tell you there are 10 non-boat 8's (one of which you split with) and 3 boat 8's calling you down, thus if he calls with any 8 it's profitable to push.

Edit: you're also assuming any 8 is raising you on the river. You should assign higher odds to the boat 8's vs poor 8's given the raise on the river.