Three-fold repetition

https://www.chess.com/game/live/41207394495
Greetings
I was playing a game this evening and in a situation that was a couple of moves before mate i decided to try forcing a three-fold repetition. I failed in doing so but i'm not so sure why, could you please set a 750r's mind straight
Thanks in advance

Sorry for the inconveniences. I started executing my plan on move 52

I have never read that king moves like that don't force a draw: Chess.com articles, Wikipedia articles and others haven't pointed that little detail out. Are there any more interesting and/or useful things left for me to know about draw by repetition?

Thank you for your help Wish those metaphorical sunny days to occur more frequently on your metaphorical roads to wherever you're heading towards

A lone king cannot stop two pawns that are protected unless your opponent made a huge blunder. With a single pawn you would have a chance at a draw if you stayed in front of his king and achieved opposition (either by 50 move rule or stalemate). Guy with the pawn still has a huge advantage but it is not hopeless if you play correctly.

#1
Here is the full explanation:
9.2.1
The game is drawn, upon a correct claim by a player having the move, when the same position for at least the third time (not necessarily by a repetition of moves):
9.2.1.1
is about to appear, if he first indicate his move by writing on the paper scoresheet or entering move on the electronic scoresheet, which cannot be changed, on his scoresheet and declares to the arbiter his intention to make this move, or
9.2.1.2
has just appeared, and the player claiming the draw has the move.
9.2.2
Positions are considered the same if and only if the same player has the move, pieces of the same kind and colour occupy the same squares and the possible moves of all the pieces of both players are the same. Thus positions are not the same if:
9.2.2.1
at the start of the sequence a pawn could have been captured en passant
9.2.2.2
a king had castling rights with a rook that has not been moved, but forfeited these after moving. The castling rights are lost only after the king or rook is moved.
https://handbook.fide.com/chapter/E012018 

So just to be clear: you read chess.com articles and Wikipedia articles about threefold repetition, and none of them said that the same position has to occur 3 times. Instead, these articles said that if one side makes the same moves, that forces a draw (???). Is this really what you claim?

the position has to be repeated not your move, probably something was different with your opponent's moves