
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
Given the player scored $28$, $16$, and $15$ points in the eleventh, twelfth, and thirteenth basketball games, respectively, and her average after thirteen games was higher than her average after the first eight games, and her average after fourteen games was greater than $20$, determine the least number of points she could have scored in the fourteenth game.

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