Here’s the reordered color palette with the red, green, and orange colors placed at the end:

 <Mixed Blues and Pastels with Additional Light Gray>
1. Light Sky Blue - 
                            
                            #A4D8E1
                         - A soft, light blue that evokes tranquility and clarity.
2. Medium Blue - 
                            
                            #3B7A9B
                         - A vibrant yet calming medium blue ideal for data visualization.
3. Dark Blue - 
                            
                            #2A4D69
                         - A rich dark blue that adds depth and contrast to your designs.
4. Navy Blue - 
                            
                            #1B2A49
                         - A deep navy that can ground the palette and enhance readability.
5. Light Lavender - 
                            
                            #E3D7E7
                         - A gentle light purple that adds a touch of creativity without being overwhelming.
6. Dark Purple - 
                            
                            #5D4C8A
                         - A bold dark purple that brings sophistication and depth.
7. Light Gray - 
                            
                            #D3D3D3
                         - A neutral light gray that provides a calm background for data visualization.
8. Light Silver Gray - 
                            
                            #EAEAEA
                         - A softer light gray that can be used for backgrounds or subtle elements.
9. Dark Gray - 
                            
                            #555555
                         - A deep gray that offers strong contrast and can be used for text or critical elements.
10. Pastel Red - 
                            
                            #F4A6A1
                         - A softer, pastel red that introduces warmth and friendliness to the palette.
11. Pastel Green - 
                            
                            #A8E6CE
                         - A gentle pastel green that enhances the feeling of balance and tranquility.
12. Pastel Orange - 
                            
                            #FFB74D
                         - A warm pastel orange that adds a cheerful touch without being too overpowering.

This reordered palette maintains the soft and professional feel while placing the pastel colors at the end for easy identification.

Would you like any more adjustments or specific applications of these colors for your dashboard?