
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
If the coordinates of point $P(x,y)$ satisfy the system of equations $\left\{\begin{array}{l}x+y=2a-b-4\\ x-y=b-4\end{array}\right.$.<br/>$(1)$ When $a=1$ and $b=1$, find the coordinates of point $P$;<br/>$(2)$ If point $P$ is in the second quadrant, and there are only three integers that satisfy the requirements for $a$, find the range of values for $b$.

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