
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
Imagine a grid where you can only move south and east along line segments. How many distinct paths are there from point $A$ to point $B$ in the following grid setup? 
- The grid has dimensions of 7 columns and 4 rows. 
- There are two forbidden segments: between the 3rd and 4th columns in the 2nd row from the top, and between the 5th and 6th columns in the 3rd row from the top.
[Insert grid diagram similar to the original but with specified changes]

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