Vinyl flooring is durable whether in sheet or tile form but the material is susceptible to damage.
Removing vinyl tiles with two irons.
Tear off a piece of waxed paper or parchment paper large enough to cover a tile and overhang an inch or two on each side.
Cover the ice with a towel or two to insulate it.
Read a book like i did.
Another make do method to remove a vinyl floor tile with an electric steam iron.
While wearing insulating gloves arrange the chunks of dry ice on top of the paper to cover the offending tile.
As i happened to have an old electric steam iron in the garage i thought.