Having read all the responses over the last days, and having read the portion that came from your last thread, I see some stuff that I wanted to point out for you take or leave as you wish.
It seems that all of you are pussyfooting around issues and feelings, and not being radically honest about what is going on for you. You all seem to have needs that aren't being met because none of you seem willing to put them on the table!
The needs I see here for all of you are as such (and please correct me if I am wrong):
- You need time with Heath that is not involved with Lucy, and is focused on you.
- You need Heath to be present and engaged in you, and your relationship, so that you can make your own plans and be a strong couple.
- Heath needs time with Lucy and on his own in order to re-energize, feel like he has a life beyond your illness, and a future that is his.
- Heath needs to be a primary to himself.
- Lucy needs to feel like she is part of your relationship together, and that she is needed and wanted in your home and in your lives.
So, if this is the case, is it not possible to sit down and divide up time between all of you? Be perfectly honest that these listed needs are what you require to be happy, and then when something isn't about you, you can can know that it will come around to you at X o'clock tomorrow. That way, time is divided into chunks that are workable and fair. You can feel happiness with your compersion that they are together, and knowing that you will have his undivided attention later, because a balance has been created.
I am not convinced that what you have is a triad, really. It is, in terms of relationship, but not romance. I don't hear of anything that makes me think you and Lucy have an intimate relationship, or are sharing something that doesn't involve Heath. However, Lucy is involved with him in this way, and so are you. Maybe redefining your relationship would help?
I am the hinge of a V, yet the two men that I live with, my partners, are good friends and help each other out. When shit hits the fan in my life, they work together to make things easier for me. One or the other gives up their time with me, looks after our child, takes care of mundane daily-routine stuff. They get together and talk, support each other where I am concerned. We are a triad in relationship, but not romantically. Perhaps this is more fitting to what you are in your dynamic.
This really doesn't seem so much about your illness as perhaps you think. It seems to me like a matter of taking on the situation, not feeling sorry and bad about it, getting on with organizing your time, and being radically honest about what is going on.
I wonder why they can't go to Lucy's house. Why does she always have to be at your place? Can't Heath go to her place for a few hours, come back home and spend a few hours with you, and then later you all spend a few hours together? That right there is nine hours of the day. For another three hours, he could do something on his own while you and Lucy spend time together. That is a whole waking day, 12 hours. Maybe planning it out this obviously for a time will shift things and make a natural balance occur.
In my day, I spend the morning with my boy and PN until I go to work; in the afternoon, after work, I spend time with Mono; then I spend time just with my boy; then with the boy and PN; then (after the kid is in bed) some time with PN; and then time with Mono. The whole day is purposely broken up into these little chunks of time. Somewhere in there, some days, I spend time alone or with others. I spend some of my free time at work connecting with Derby (my gf) and Leo (my non-sexual bf), and I often write on here. Such is the nature of my job, luckily.
I hope this has helped. It's a bit scattered. Take it for what it's worth.