Leucine and glycine are the amino acids that have the greatest impact on mTor activation. mTor is the trigger than initiate protein synthesis/muscle building.
Glycine could also be used but its a neural inhibitor. Which is good in the evening because it helps you relax by reducing neuronal activity, but a bad idea during the day.
Glutamine doesn’t have a significant impact on mTor. It can be turned into glucose fairly easily so people on a low carbs diet can use it post workout to increase glycogen replenishment. It can also have a small impact on the immune system but its most important effect is on gut health and in reducing the acid load of a meal.
Personally I see no benefit of glutamine from a muscle-building or performance standpoint but it can have a small health benefit.
I see lysine a bit like glutamine… very little impact by itself on muscle building but might have small health benefits.
I never recommended supplementing with lysine, and have use glutamine only in some specific cases (gut issues, when immune system is weak).