Let's break down the expression given step by step. The expression is:

\[ 2^3 + 3 \cdot \left(\frac{1}{9}\right)^0 - 2^{-2} \cdot 3 + \left[(-2)^2 : \frac{1}{2}\right] \cdot 82^3 + 3 \cdot \left(\frac{1}{9}\right)^0 - 2^{-2} \cdot 3 + \left[(-2)^2 : \frac{1}{2}\right] \cdot 8 \]

We will simplify each piece:

1. **Calculate \( 2^3 \)**:
\[
2^3 = 8
\]

2. **Calculate \( \left(\frac{1}{9}\right)^0 \)**:
\[
\left(\frac{1}{9}\right)^0 = 1
\]

3. **Calculate \( 2^{-2} \)**:
\[
2^{-2} = \frac{1}{2^2} = \frac{1}{4}
\]

4. **Now calculate \( 2^{-2} \cdot 3 \)**:
\[
2^{-2} \cdot 3 = \frac{1}{4} \cdot 3 = \frac{3}{4}
\]

5. **Calculate \( (-2)^2 \)**:
\[
(-2)^2 = 4
\]

6. **Divide \( 4 : \frac{1}{2} \)**:
\[
4 : \frac{1}{2} = 4 \cdot 2 = 8
\]

7. **Now calculate \( 82^3 \)**:
\[
82^3 = 82 \cdot 82 \cdot 82 = 551368
\]

Putting everything together, we substitute what we calculated back into the expression:

The expression becomes:
\[
8 + 3(1) - \frac{3}{4} + 8 \cdot 551368 + 3(1) - \frac{3}{4} + 8 \cdot 8
\]
Now calculate it step by step:

**Step 1**:
\[
= 8 + 3 - \frac{3}{4} + 8 \cdot 551368 + 3 - \frac{3}{4} + 64
\]

**Step 2**:
Combine like terms:
\[
= (8 + 3 + 3 + 64) - \frac{3}{4} - \frac{3}{4} + 8 \cdot 551368
\]
\[
= 78 - \frac{3}{2} + 8 \cdot 551368
\]

**Step 3**:
Calculate \( 78 - \frac{3}{2} \):
To subtract \( \frac{3}{2} \), convert 78 to a compatible fraction:
\[
78 = \frac{156}{2}
\]
So,
\[
156/2 - 3/2 = 153/2 = 76.5
\]

**Step 4**:
Add \( 8 \cdot 551368 \):
\[
= 76.5 + 8 \cdot 551368
\]
Calculating \( 8 \cdot 551368 \):
\[
8 \cdot 551368 = 4401096
\]
So the final calculation:
\[
= 76.5 + 4401096 = 4401172.5
\]

Thus, the final value of the expression is:
\[
\boxed{4401172.5}
\]