My advice is more for a specific situation/example - whenever an LSE appears to me to be particularly upset and moody, it has been because their plans have fallen through or they have experienced a serious failure, and I've found a way that always seems to comfort/cheer them up in such a situation.
First, you try to figure out exactly what's bothering them and how they feel about it (on your own), and then
identify their emotions
for them (they need help with this and don't like doing it on their own, and EIIs are particularly good at this) - pose it to them as a question, for example, you can say something like: "you seem XYZ [eg. upset/down/frustrated], what happened etc..". Most of the time, LSEs don't even know what they're feeling or that they're even feeling it in the first place. At first, they will vehemently deny it or try to change the subject, because they don't even know what they're feeling, and don't want to admit it for fear of appearing weak. But when they have some time to think about it, they realise you were right in saying that they
were feeling XYZ particular emotion, and this results in a lot of surprise, and later appreciation that you can read them that well and 'relieve' that emotional burden for them.
The next step relates to their hidden agenda, this advice I saw on some socionics video (but I forgot the source), and it aligns with my own previous experience of comforting LSEs even before I knew socionics. Basically, tell them that you believe in them, their potential, pinpoint their strengths, make them aware of the many opportunities out there that still await them despite this particular failure event. Make them see the potential out there and within them (Ne), then give them space and let them execute and prove it to you (Te). It's not the end of the world even if they failed this time.
Do all this with a calm and empathetic disposition. Honestly, when placed in such a situation with a LSE, it comes quite naturally to an EII to do all this, even if we're not aware of it, and even if it 'seems' disingenous when seeing it written out as 'steps' here. The
wonders of duality, I suppose