
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
Determine the highest possible number of total points that each of the top three teams could have, given that there are eight teams, each team plays every other team twice, and a team earns $3$ points for a win, $2$ points for a draw, and $0$ points for a loss.

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