A mix of 2048 and Match 3

I was playing a game and thought of this problem:

Rules

1. There are 4 distinct tiles on a $6times6$ grid. The game starts out with one block on the board.
2. You can shift all the tiles in one of the four cardinal directions (north, south, west, east) until they hit a wall or a tile.
3. After every move, a new tile appears on the grid.
4. After all tiles have been shifted, if three or more same tiles line up orthogonally (not diagonally), these blocks disappear. (The tiles will not continue to shift.)

This game is basically a mix of 2048 and Match 3. Here is an example screenshot. The player can shift the tiles down and the 3 green H-tiles will be removed from the game:

Question: Is it guaranteed to never lose in this game? and if yes, is there a strategy?