How can I add a colored shadow at the right inside of my hexagon?

Thankfully I've found a hexagon on SO but now I've a problem. The hexagon can be filled with any color - currently orange but I need to fill it with a color and a shadow:

<svg viewBox="0 0 180 100" style="width:180px;height:130px">
  <defs>
    <clipPath id="hexagon_clip">
      <path id="hexagon" d="M38,2 
           L82,2 
           A12,12 0 0,1 94,10 
           L112,44 
           A12,12 0 0,1 112,56
           L94,90       
           A12,12 0 0,1 82,98
           L38,98
           A12,12 0 0,1 26,90
           L8,56
           A12,12 0 0,1 8,44
           L26,10
           A12,12 0 0,1 38,2" />
    </clipPath>
  </defs>
  <use xlink:href="#hexagon" x="0" y="0" stroke="orange" stroke-width="12" fill="transparent" />
</svg>

This is my current example I want to re-build:

So my goal is it to pass a color hex code at the end. Is this possible or not?

With colored shadow I mean the darker color at the right inside of each hexagon. Sorry for being to unclear!

Solution

I will consider a different hexagon taken from this answer then as a background coloration I will use two layers, the main color and the gradient to simulate the shadow:

.hex {
  width: 200px;
  display: inline-block;
  color:orange;
  position:relative;
  filter: url('#goo'); /* to get the rounded edge */
}
.hex::before,
.hex::after { /* the polygon shape */
  clip-path: polygon(25% 0%, 75% 0%, 100% 50%, 75% 100%, 25% 100%, 0% 50%);
  display:flex;
}
.hex::before{
  content: "";
  background:
    linear-gradient(50deg,transparent 10px, rgba(0,0,0,0.2) 0 calc(100% - 45px),transparent calc(100% - 44px)) 
    100% 100%/ 70% 89% no-repeat, 
    currentColor; /* Use the color defined by "color" */
  padding-top: 86.6%; /* 100%*cos(30) */
}
.hex::after {
  content: attr(data-text);
  font-size:80px;
  position:absolute;
  top:18px;
  left:18px;
  right:18px;
  bottom:18px;
  background:#fff; /* this should match the main background */
  align-items:center;
  justify-content:center;
}

<div class="hex" data-text="01"></div>
<div class="hex" data-text="02" style="color:pink;filter:none"></div>
<div class="hex" data-text="03" style="color:lightblue"></div>


<svg style="visibility: hidden; position: absolute;" width="0" height="0" xmlns="http://www.w3.org/2000/svg" version="1.1">
  <defs>
        <filter id="goo"><feGaussianBlur in="SourceGraphic" stdDeviation="8" result="blur" />    
            <feColorMatrix in="blur" mode="matrix" values="1 0 0 0 0  0 1 0 0 0  0 0 1 0 0  0 0 0 19 -9" result="goo" />
            <feComposite in="SourceGraphic" in2="goo" operator="atop"/>
        </filter>
    </defs>
</svg>