Our button range should probably already be wide enough that we don't need to change that 3-way. Similarly, I'm playing my blinds 3-way basically the same way I would against a button open on a 6-max table. Defend if my hand has good equity against his range and plays decently postflop, 3-bet bluff if he opens wide enough, 3-bet for value with an appropriate range.

I mean, there might be a few minor changes to make, but in general I think that our 3-handed play shouldn't be a whole lot different from our 6-max play after the first 3 players fold.