
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
Consider a grid where each block is 1 unit by 1 unit. You are required to move from point $A$ at the bottom-left corner (0,0) to point $B$ situated at (5,4) in the upper-right corner. The grid has a total of 9 blocks along the 5-unit width and 5 blocks along the 4-unit height. Point $C$ at (2,2) is blocked and cannot be used. How many different 9-step paths can you take from $A$ to $B$, sticking to the right and upward directions only, while avoiding point $C$?

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