
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
A new operation "☆" is defined as follows: for any rational numbers $a$ and $b$, it is defined as $a$☆$b=ab-a+b$. For example, $2$☆$3=2\times 3-2+3=7$.
$(1)$ Find the value of $2$☆$\left(-3\right)$;
$(2)$ Find the value of $\left(-2\right)$☆$(1$☆$3)$.

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