Calendar Puzzle, Month + Day of the Month + Day of the Week, Square Grid

Introduction

This puzzle further extends Day of the Month puzzle and Month + Day of the Month puzzle to include the Day of the Week, so there are three squares that you'll need to show while covering all other squares, like the picture above. With the increased complexity,  the board now has a total of 50 squares and we will use ten polyominoes as shown in the image below. Again, each of the ten polyomino pieces has a dot on one side,  while the other sides are clear

You can find the svg file for laser cutting/engraving machine at ATOMM, MakerWorld and Cutting Path

How to Play?

Here are three ways to play:

1. Easiest: Give it a shot by rotating, moving, and flipping all ten pieces, but don’t worry about the dots. Computer simulations show that there are about 7,318 solutions per date in average from all 2,562 (=366x7) dates, and every date has at least 248 solutions!  A solution to solve June 9 Wednesday is shown below and you see some pieces have dots while others do not.
2. All dots: Turn and flip all the pieces so the sides with Dots are facing up, then try to rotate and move these ten pieces, without flipping, to solve the puzzle. With this "all dots" rule, cthere is an average of 84.1 solutions per date from all 2,562 dates, every date has a minimum of 2 solutions.
3. No dot: Turn and flip all the pieces so the sides with No dot are facing up, then try to rotate and move these ten pieces, without flipping, to solve the puzzle. With this "no dots" rule,  there is an average of 80.4 solutions per date from all 2,562 dates, every date has a minimum of 1 solutions.