Allow Clicks To Pass Through Transparent Portions Of JPanel?

I have a class Tile that extends JPanel within the constructor for Tile I have set the opacity to false so that I can place tiles atop each other and see parts of the tiles below and the background through those parts of the tile that are not being drawn on. This implies that I am using paintComponent within Tile to display the image of the tile I want shown on this object.

The tiles are stacking perfectly. But I find that if I click on a tile through the transparent area of another tile, it is the top tile (transparent area) that retrieves the mouse click. This makes perfect sense, but is there a way to allow the mouse click to pass through transparent portions of the JPanel?

I've considered writing my own method to determine if the mouse click was within bounds then if it was outside the bounds of the object, find a way to pass the click event to the tile below. But this would be extremely challenging if the tiles were implemented as donuts (with holes in the center) or as some other obscure shape with transparent sections.