
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
 $\mathbb{R}^2$ -tic-tac-toe is a game where two players take turns putting red and blue points anywhere on the  $xy$  plane.  The red player moves first.  The first player to get  $3$  of their points in a line without any of their opponent's points in between wins.  What is the least number of moves in which Red can guarantee a win?  (We count each time that Red places a point as a move, including when Red places its winning point.)

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