
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 city needs to build a multi-functional venue with an area of $5100m^{2}$. The construction will be completed by two teams, Team A and Team B. It is known that Team A builds $2m^{2}$ more per day than Team B. The number of days it takes for Team A to build $900m^{2}$ is the same as the number of days it takes for Team B to build $720m^{2}$. <br/>$(1)$ Find the daily construction area for Team A and Team B; <br/>$(2)$ The venue is first constructed by Team B, then completed by Team A for the remaining construction. If the area built by Team A is at least twice the area built by Team B, what is the minimum area that Team A must build?

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