I am just guessing here, but I would expect that there are better ways to solve the issue with the gate that are easier, safer and even cheaper than dynamite.
The article says only one of two gates has problems, but they cannot open only one because of the asymmetry that would introduce. So, to solve the problem with dynamite, it would be necessary to make very good calculations to be sure you make exactly the hole you want, then actually do it with a very high precision (for an explosion).
I do not think opening that gate is as much a technical problem as a problem of initiative and responsibility.
Various forms of shaped charges and explosives could be used to open the sluice gates but that would leave them permanently opened.
The main fear here is that if the dam reaches its design head, the water will tunnel underneath and around the dam through the water soluble rocks. The dam can't exceed the design head because of the spillway that is visible to the south east of the dam.
So explosives could well be used to force open the sluice gates.
You (and at least one other) reacted as though I had claimed such an action would come with a guarantee nothing could go wrong. Which is, to put it bluntly, a rather stupid reaction given that:
1. I didn't make a claim. I asked a question.
2. According to the experts, the clock is currently ticking down on a million lives with no idea of how much time is left, so your implied suggestion of doing nothing (which is the implied suggestion when you summarily dismiss a line of thought while providing nothing in its place) is... well, how exactly would you describe the suggestion of just letting a million people die, had it come from someone else?
It just seems to me that using explosives on a structure where collapse is imminent in order to fix it sounds like the most dangerous idea one could possibly have.
First of all, according to what the experts are saying, the most dangerous idea one could possibly have is your idea of doing nothing - that guarantees the worst-case outcome.
Second, one would normally expect the force required to break the dam to be orders of magnitude larger than that required to open a sluice gate. Obviously this isn't a normal situation, but then, what are the figures? If a stick of dynamite isn't the appropriate tool, exactly what would it take to open the gates?
Third, if you could say 'we are going to try this at such and such a time, everyone be prepared' that would be far better than having it fail at an unknown time.
Fourth, now that I think of it, even deliberately blowing up the dam at a known time would be better than letting it fail at an unknown time.
Fifth, I'm sure there is some relevant idea or consideration I haven't thought of, that someone else could think of if they put their mind to doing so.