@PRIV8 - Yeah I understand. The same advice applies, though.
I think that people have suicidal thoughts when life is stressful pretty often. I do too. To this day, I will literally have thoughts like, "I don't want to live anymore" when things get bad, or even picture what I would do.
But those thoughts no longer alarm me, because I've come to understand the massive difference between thoughts and actions. I understand that thoughts cannot "make" me do anything, because that's not how they function. They aren't sending me messages that uncover the darkest secrets of my subconscious either. They are nothing but the brain trying to make sense of what the body is feeling, and they are often inaccurate or flat out wrong, especially in stressful situations, when they default to the most hard-wired patterns. We don't like the feeling of stress/anxiety/depression, and so it's natural to want that feeling to go away, and so the brain will interpret those feelings and bring up images of how we can do that, with death sometimes being one of them.
Does having more of these "death" thoughts make you more likely to do it? No. You can have thoughts all day about how you want to get a salad for dinner to be healthy, only to end up getting a burrito instead. In this scenario you wouldn't care that the thought was misaligned with what you really wanted, because it's so mundane. We only hyper-focus and worry about thoughts that are more heavy, like suicide, which causes them to happen more often and fuel the cycle.
I think it's easy to misconstrue "accepting" the thoughts with a loss of hope, or like you're giving up in a way. That's why I sometimes frame it as accepting that the thoughts *are there*, rather than accepting the thoughts themselves.
It's like being at a crowded party and someone is there that you don't like. If you resist the fact that they are there, you will be eyeing them the whole time, focusing so much attention on them. You'll feel annoyed and angry that they're there and try to think of ways to make them leave. They will pick up on this and probably purposely try to annoy you. It will ruin the party for you. On the other hand you can accept that they're there, and carry on. There are plenty of other guests to pay attention to. Even if the person tries to annoy you, eventually they'll see they aren't really bothering you, and they'll move on too.
The point is, you aren't saying, "I like that you're here and I approve of your behavior." You're accepting that they are there. That's it. The same goes for our thoughts.
I've pretty much gotten over this theme, but it's not because I was finally able to convince myself that I'd never kill myself. It's because I've learned to accept that I simply don't know. Maybe I will, maybe I won't. My state of mind can change for the better or for the worse for millions of reasons any given day. What I do know is that if I ever do, it wouldn't be because my intrusive thoughts "finally won," which is what we're so afraid of happening.
Sorry for this long-winded reply, haha. I'm sure you still have many doubts, and apologies if none of this lands for you. Just know that I understand how hard this is. I was absolutely CRIPPLED by the exact train of thoughts you're describing for years.