how to go braless but still have support ?

I’m trying to stop wearing bras but still want a bit of support/smoothing under tops.

I was thinking of wearing a tight tank (like Aritzia butter tanks, tank air) as a base layer, and then layering other shirts over it. I don’t like sports bras because they make me sweat.

Does anyone have recommendations for tanks or camis that actually hold things in place a bit (like a built-in bra or compression), but still feel lightweight and not bulky, where you can also wear tops over them ?