
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
The corresponding values of $x$ and $y$ are shown in the table below:

| $x$ | $0$ | $2$ | $4$ | $6$ | $8$ |
|-----|-----|-----|-----|-----|-----|
| $y$ | $1$ | $m+1$ | $2m+1$ | $3m+3$ | $11$ |

If $y$ is linearly related to $x$ and the regression line equation is $y=1.3x+0.4$, then $m=\_\_\_\_\_\_$.

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