
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 company's tonnage of goods entering and leaving the warehouse over $4$ days is as follows ("$+$" indicates incoming, "$-$" indicates outgoing): +24, -48, -13, +37, -52, +57, -13, -33. <br/>$(1)$ After these $4$ days, did the amount of goods in the warehouse increase or decrease? Please calculate and explain. <br/>$(2)$ After these $4$ days, the warehouse manager found that there were still 217 tons of goods in the warehouse. How many tons of goods were in the warehouse 4 days ago? <br/>$(3)$ If the handling fee for incoming and outgoing goods is $15$ yuan per ton, how much will be paid for handling fees over these $4$ days?

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