
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
Given $A=3a^{2}b-2ab^{2}+abc$, Xiao Ming mistakenly took "$2A-B$" as "$2A+B$", and calculated the result as $C=4a^{2}b-3ab^{2}+4abc$.  
$(1)$ Calculate the expression for $B$;  
$(2)$ Find the result of $2A-B$;  
$(3)$ Xiao Qiang said that the result in $(2)$ is independent of the value of $c$, is this correct? If $a=\frac{1}{8}$, $b=\frac{1}{5}$, find the value of the expression in $(2)$.

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