
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
A pot contains $3 \pi$ liters of water taken at a temperature of $t=0{ }^{\circ} C$ and brought to a boil in 12 minutes. After this, without removing the pot from the stove, ice at a temperature of $t=0{ }^{\circ} C$ is added. The next time the water begins to boil is after 15 minutes. Determine the mass of the added ice. The specific heat capacity of water is $c_{B}=4200 \, \text{J} / \text{kg} \cdot { }^{\circ} \mathrm{C}$, the specific heat of fusion of ice is $\lambda=3.3 \times 10^{5} \, \text{J} / \text{kg}$, the density of water is $\rho = 1000 \, \text{kg} / \text{m}^{3}$.

Answer: 2.1 kg

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