I am laying a floating Pergo laminated floor over a 6 mil vapor barrier over a dry, flat, stable, and insulated concrete floor. The floor needs to butt up against a tile hearth for a woodstove. Rather than leaving a wide space to add a trim piece to cover the edge of the laminate, I want to simply butt the floor to the tile (which is the same height), leaving a quarter inch gap, and fill the gap with silicone tile grout. Will this work?

Will the laminate floor move, both laterally or vertically?