
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
For rational numbers $a$ and $b$, a new operation "$*$" is defined as $a*b=\left(a+b\right)-|b-a|$.
$(1)$ Calculate the value of $\left(-3\right)*2$;
$(2)$ Find the value of $\left(4*3\right)*\left(-5\right)$.

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