I wouldn’t even go as far as saying the English word is an accurate representation of the pronunciation in Japanese. In the case of Dye for dai (だい) it is, but lol, they make some stretches with word choices
I wouldn’t get too set in stone w/ the mnemonics provided, but just figure out what helps you remember it.
One of the easiest things about Japanese is how the language is pronounced. It is very consistent. There are tones, but it’s nothing I think you need to worry about till way later, if ever. The sounds are almost always the same. There are small exceptions like だい isn’t da EEE, but い almost always works like that.
How comfortable are you with hiragana? You shouldn’t really need an English word to remember how to say it if you know how to spell the word in hiragana. The English word is just trying to give you some memory of how to spell it. Again, the mnemonics given are usually not very helpful to me. I would try making your own stories or whatever helps you… or… just get it wrong over and over again like I do until you can’t forget it