Help with step daughter getting jealous

So I'm new to being a step parent, I'm only 21 and shes 8, it's been a difficult journey so far and shes a very difficult child. We've worked it out though and get along pretty well.

What happens is, her dad likes to be affectionate with me and give me cuddles and kisses all the time, it's our normal way of acting. However when shes around, if she sees her dad giving me slightly too much attention, she comes up and butts in, claiming she HAS to show him something or NEEDS a cuddle right then and there. If we all sit down and watch a movie, my partner likes to put his arm around me, but she will come right up and snuggle up as close as she can get pretending shes scared of the movie or crying because of a sad part.

I wanna know if I should continue what I do which is avoiding contact with her dad too much when shes here (I do this because it saves him from being pestered by her and I can have his attention any other day, but he gets annoyed with me cause he just wants to be affectionate)

Or should I go with it and act like I normally would to show her that hey I'm with your dad and I'm allowed his attention without you interrupting

Edit: I will add that the two of them spend plenty of time together without me, and she doesnt ever want to cuddle him or show him things until I'm too close to him. If hes on the couch and shes on a separate chair, then I sit on the couch next to him, she comes over and sits with him too even if she was doing something completely different. Idk how to approach this situation it also doesn't annoy me that much it's more the fact that it causes tension between my partner and I