This puzzle is part of the Monthly Topic Challenge #1: Restricted Title: xkcd 1xxx and is based on https://xkcd.com/1801/.
Protip: If you ever need to defeat me, just give me two very similar options and unlimited internet access.
Two people are playing tic-tac-toe, and it is common knowledge that both players are susceptible to a peculiar form of decision paralysis.
At the start of a player's turn, if they can play exactly two "normally" winning moves, then that player becomes unable to make any move and immediately loses the game.
A "normally" winning move is one that would lead to a win if the remainder of the game were played perfectly between two "normal" players not susceptible to decision paralysis.
For example, if it is X's turn in the following position, there are exactly two normally winning moves, marked with asterisks.
Overcome with decision paralysis, X immediately declares, "I lost the game," and O wins.
With both players knowing that they can win by either scoring three-in-a-row or paralyzing their opponent, which player has a winning strategy?
Disclaimer: The creator of this puzzle is not liable for any harm caused while playing decision paralysis tic-tac-toe. Please play responsibly.