<human>: Give me the gist of the text in a nutshell

Basically, I have two (very different) best friends, T and K. Both T and K are very close so we have this trio of friendship. We've all been friends since grade school. 

In the beginning of our college years, K kind of fell off the map dating her new boyfriend (now fiance) and at the same time T and I became much closer than we were in high school. We did a lot of things just the two of us and it was great.

In the last year or so, K has made a real effort to build back up her friendship with both me and T and we were really excited to have our friend back! Then K got engaged in November, and we're 2 of her 3 bridesmaids! Yay! Since then we've done almost everything together and it's been great. 

However, and this is where the problem lies, T and I have some different interests than K and we miss having "just us" time. I play sports with K 3 times/week so I have time with just her, and I want the same opportunity with T. K can be very possessive of both of our friendships (wants to feel like she is both of our best friends when in reality both T and I feel closer to each other). The one time in the last 8 months we did something without her (that we had extended an invite to K but she initially declined and then said she would've changed her mind), she got upset and sent passive aggressive "thanks for the invite..." messages to both T and I. 

This puts T and I in a tricky situation. We both don't want to hurt K's feelings, but at the same time it's very frustrating that we feel like we'll be "in trouble" if we do things without her.

Are we in the wrong? I get that if I were K I wouldn't want to feel excluded from my 2 best friends. But T and I literally get no time just the two of us because we're afraid of upsetting K. If we're being reasonable, what is the best way to deal with K so that she doesn't feel like bad/we're being mean?

Thanks for reading and any help!
<bot>: friend and I want alone time every once in a while without our other close friend. Are we in the wrong? How can we approach our other friend in as delicate a way as possible?