
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
The constructor consists of tiles of size $1 \times 3$ and $1 \times 4$. From the available tiles, Fedya assembled two rectangles of size $2 \times 6$ and $7 \times 8$. His brother Anton took one tile from each assembled rectangle. Will Fedya be able to make a rectangle of size $12 \times 5$ from the remaining tiles?

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