Budgies Vs Lovebirds When It Comes To Conure Companionship

I currently have a two year old female black capped conure who I’ve been wanting to get a friend for. I want to adopt rather than shop though, and there are NO conures in rescues near my area. However, there’s an animal shelter near me with two pairs of budgies (a non-bonded M/F pair and a bonded M/F pair) and an 8 month old lovebird (website says male but I don’t trust they’ve DNA sexed him). I want to emphasize heavily that MY CONURE WILL NOT BE HOUSED WITH EITHER OF THEM. The lovebird or the budgies would have a separate cage from my conure, and they’d only be allowed out together under my direct supervision where I could quickly intervene if something was going south. I’ve never had lovebirds before, but I have had budgies, just not while also owning a conure. But I feel like my conure would still be provided with some companionship by just having other birds in her room with her and getting to interact with them during free range time.

I’m asking people who have had experience with conures and budgies together, and/or conures and lovebirds together in the same space. Which do you think would make for a more ideal companionship? Because I’ve heard horror stories in all directions: Conures harassing budgies, lovebirds harassing conures, conures harassing lovebirds. So I really think it probably just depends on the birds. (I know the budgies are friendly towards other budgies, at least.) And, for the budgies, do you think it would be better to take the mated pair or the non-bonded pair for flock dynamics if I chose to adopt the budgies?