Yeah, remove the front completely, and maybe every 3rd plank on the sides.
Then fit a gutter to the front, to stop all the roof water running down the face of your logs and give a few inches more shelter overhang. You can see splashback has already trashed the lower edge.
Here’s one I made earlier this year.
Faces north and rarely gets the log face wet, although litteraly just had a shower blow from the north-west. Since it was filled with fresh cut wood in Feb/March, drying shrinkage has dropped the top of the stack 4-5″.
Roof drains towards the house, with a gutter there just under the window ledge. Store is about 4ft deep, but a gap is left against the house wall for ventilation when stacking the logs.