
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
Let the equation of the line $l$ be $\left(a+1\right)x+y-3+a=0\left(a\in R\right)$.<br/>$(1)$ If the intercepts of $l$ on the two coordinate axes are equal, find the value of $a$;<br/>$(2)$ If $l$ does not pass through the third quadrant, find the range of values of $a$.

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