add "long full recoding" test (!147)

this will
- recode for $\#steps \in [10, 20, 100]$
- at $t = 0$, $k$ random shards among the $n$ encoded will be selected at random
- at $t \geq 1$, all $k$ shards will be used to recode $k$ brand new shards
- make sure the last set of $k$ shards recoded $\#steps$ together can decode the data

## example with $(k, n) = (3, 5)$ and $\#steps = 3$
- $(s_i)_{1 \leq i \leq k}$ are the $k$ source shards
- $(e_j)_{1 \leq j \leq n}$ are the $n$ encoded shards
- $(m_i)_{1 \leq i \leq k}$ are the $k$ randomly selected shards
- $(n_i)_{1 \leq i \leq k}$ are the shards after step $1$
- $(o_i)_{1 \leq i \leq k}$ are the shards after step $2$
- $(p_i)_{1 \leq i \leq k}$ are the shards after step $3$
- the $(p_i)_{1 \leq i \leq k}$ will be used for decoding

```mermaid
graph TD;

    s1 --> e1; s1 --> e2; s1 --> e3; s1 --> e4; s1 --> e5;
    s2 --> e1; s2 --> e2; s2 --> e3; s2 --> e4; s2 --> e5;
    s3 --> e1; s3 --> e2; s3 --> e3; s3 --> e4; s3 --> e5;

    e1 --> m1;
...