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If your muscles are malfunctioning, see a doctor. I am assuming they have you add the magnesium to help your muscles relax.
Do not drink magnesium (Epsom) salt water.
In an important sense, the way to hydrate is to stop eating. This reaches diminishing returns after 3-5 days. You can get some of these effects by just restricting carbs. I wouldn’t do the baking soda; this sounds like a misguided bulk manipulation of upper GI ph. Also, I personally use a multi-chelate pill for magnesium. I’ve never drank Epsom salts. Note that you can absorb magnesium through your skin by soaking in them, and consuming them has a dose-dependent, saline laxative, effect. This is because we can’t absorb much of that form, so the body is forced to expel it with fluids.
The positive is that the sodium and potassium amounts are what I take - but only midweek when I’m compensating for days of low carb eating; I’m trying around 5g sodium and a gram each of potassium and magnesium. A potassium chloride salt substitute, with stevia and kool aid packets or lemon juice and some of the sodium salt, and then some bouillon sometimes, and then the magnesium pill. I’ve noticed remarkable reductions in appetite from the salts, in a regime of ketosis.
If you’re not low carb I wouldn’t worry about extra sodium, and I’d just have some potassium chloride here and there, particularly if I wasn’t eating much vegetable matter or was having a lot of sodium, sweating a lot, etc. And still take a multi-chelate of magnesium.
The taste will generally protect you, but be aware that these are pretty powerful compounds; cell homeostasis is about the sodium/potassium balance, and you can die from suddenly taking in multiple days worth of one. That’s why the recipe and I agree to use a lot of water with potassium chloride (on an empty stomach). On food it’s not an issue.