
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 non-zero vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ form an acute angle $\theta$, and $\dfrac{|\overrightarrow{a}|}{|\overrightarrow{b}|}=\cos \theta$, then they are said to be "congruent". If $\overrightarrow{b}$ is "congruent" to $\overrightarrow{a}$, then the projection of $(\overrightarrow{a}- \overrightarrow{b})$ in the direction of $\overrightarrow{b}$ is ______.

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