
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
Suppose $p$: the real number $x$ satisfies $x^{2}-4ax+3a^{2} < 0$, where $a < 0$, $q$: the real number $x$ satisfies $x^{2}-x-6\leqslant 0$ or $x^{2}+2x-8 > 0$, and $\lnot p$ is a necessary but not sufficient condition for $\lnot q$, then the range of real number $a$ is \_\_\_\_\_\_.

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