Ignore the relationship damage posts - I'm sure you don't shut her down all the time. It's not helpful to be guilt tripped about "just don't be annoyed" because that isn't realistic.
DS1 was like this a lot (he also has ADHD) - I learned eventually that just trying to accept it all the time (and feeling guilty when I failed) was counter productive, I had to set boundaries in order that I could genuinely accept it some of the time, rather than constantly pretending to accept it through gritted teeth being on a knife edge of annoyance. This is a concept I've heard of recently called "Confident no to protect the genuine yes" and I wish somebody had explained it to me earlier!
Screen time - I know crap - but helped as occupied him without adult input. We sometimes played a game together and I would cap this at 1h. Try to notice if shared activities have a "sell by date" and stick to that. Board games were 1h limit as well. He tended to have a hard time with me saying we needed to stop something, but it was easier for him if I explained in advance e.g. this is the last round.
Play dates - I think he was lonely without a sibling. So try to arrange lots and then he'd get invited to theirs too etc.
Clubs/activities, in fact, anything that gives you a combination of space from each other + new things to talk about helps, so it's not the same repetitive topics.
Can she read yet? We used to read a chapter book together at bedtime - he read 1 page then I read 2. (You can do 1 para / 2 para if easier) And I would cap the time - 20 mins or so, when it got to about 18 mins I'd look for a good place to stop and put the bookmark in (again announcing the end point in advance helped).
Can she write? Maybe introduce the idea of journaling or storywriting for the most repetitive topics. I didn't think of this at the time, but for example a story about a talking dog would be great. And you could read it periodically and likely have a positive, encouraging response rather than thinking "OMG what now??"
Do you have an Alexa/google voice thing? Maybe if she can direct some of her general world questions at that it would take the pressure off you?
I did start to tell him "I'm not really very interested in Pokemon, you can talk to X about pokemon, can we talk about Harry Potter?" or some other thing that you're genuinely interested in.
There is a book called 15 minute parenting that I liked as has some ideas for connecting which are less lengthy and draining.
I felt like I didn't really deal with this very well in total, I realised a lot of this stuff much too late, but we do now have a good relationship now he is a teenager and he does tell me stuff, so I do think as long as you're trying your best don't fret too much, I used to feel so horrible and it wasn't as terrible as I feared. He still manages to come and want to talk just when I've sat down to watch my favourite programme or something (and then every 5 mins during said programme which is irritating - just say it all in one go!!) but it is better. I've also specifically marked out time where I go to him and initiate something so that we have chance to connect on my terms too, and I'm not just blocked when he wants to talk to me.