13: Excellent job noting the shape weakness. However, exploiting a broken shape isn't always a good idea if your opponent can easily sacrifice for a good position.

24: At this point I would say white has gotten a decent position, despite the broken shape. You did push W down to the 1st/2nd line and capture a stone, but you've used six stones in an inefficient shape to capture the stone, and the cde12 wall looks very efficient. Even though B21 at d12 is not "broken" shape in the classical sense, W's position is still very bad even if he cuts B.

25: With a seventh stone added to capture, B's position becomes inferior. Distinguish between stones that serve a purpose and stones that are useless. D10 does not, for example, cut two black groups apart, or cause a liberty problem for Black, or give White some useful forcing move. When a stone still serves some purpose, capturing it firmly may seem slow, but in many circumstances will be good style. When a stone is useless - especially when it is "blighted" by it's proximity to a solid enemy wall - capturing it firmly is a tiny endgame move.

39: Excellent! Don't dignify a 1st line move with a local response at this stage in the game.

41: You've violated a an important rule here... do you know what it is?

65: Again, excellent job on not following W around. I'm not a big fan of this move, though: I would prefer N4 or N5, to firmly surround the doomed white group.

67, 69, 71, 73: Another important rule has been violated. Do you know what it is?

83: A mistake everyone makes at least once. When you read, remember to count liberties... especially when groups are up against the edge. Let's hope it will only be once.

99: Not bad, but F11 (breaking W's shape) seems better: W remains on the run.

123, 125, 127: B123 and B125 are good, aggressive moves because W is in imminent danger of capture, so keeping W's liberties low is an effective way of bossing the W stones around. You should know, however, that jumping ahead is often more effective in fights likes this, since sometimes you can't win an immediate capturing race.

One final thought: you did a decent job of using more time than your opponent in this game. However, at the point when you were asking for more time you were still using about 3s to 20s per move, which is considerably less than your 30s byo-yomi periods.

Eventually, these "rules" will become a hindrance. (Perhaps they already are. )
Eventually (and as always), we just want to play the "best" move.
If the best move is to attach, so be it.
If the best move is to attack, but from a short distance, so be it.
If the best move is to attack, but from a medium distance, so be it.
If the best move is to attack, but from far away, so be it.
If the best move is to tenuki, so be it.
If the best move is to kill outright, kill.
If the best move is an empty triangle (or other ugly dumpling shapes), do it!
If the best move is a broken shape, do it!
And so on. It all depends on the EXACT board position.
Some of us (maybe adults in the Western world) pick up all "these" rules from other "teachers."
Then one day, we meet a good-level pro, "You have too many rules! " -- I have seen this in more than one occasion.
It does not matter what the "rules" say -- forget about "important rules" -- if it works, play it!
Eventually, we have to throw away all these "rules" and just play the "best" move --
but that day seems very far away.