
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
It is known that a certain shooter hits the target with a probability of $80\%$ each time they shoot. Now, the method of random simulation is used to estimate the probability that the shooter hits the target at least $3$ times in $4$ shots: first, a calculator is used to generate random integers between $0$ and $9$, where $0$, $1$ represent missing the target, and $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$ represent hitting the target; then, every $4$ random numbers are grouped together, representing the results of $4$ shots. Through random simulation, the following $20$ groups of random numbers were generated:

$7527$　$0293$　$7140$　$9857$　$0347$　$4373$　$8636$　$6947$　$1417$　$4698$　$0371$　$6233$　$2616$　$8045$　$6011$　$3661$　$9597$　$7424$　$7610$　$4281$

Based on this, estimate the probability that the shooter hits the target at least $3$ times in $4$ shots.

Present the answer in LaTex format: \boxed{Your answer}
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