I disagree with the others btw - I think open flirting can be very much a problem for the partner of the person engaging in it.
It's probably something you're unaware of, but it's a form of passive aggression.
It's seemingly 'innocent' but at the same time gives the message loud and clear that you want your partner to know that they have competition; you want your flirting partners to know you are not entirely respectful of your relationship and your partner; you don't really care about your partner's feelings, because flirting with other people will on some level put the knife in.
are you testing him to see if he loves you enough to put up with your 'challenges'? ie not get jealous, act as though he isn't upset when really he is a bit worried, etc.
I think it's more fitting to a single person, tbh, not someone who claims to be in a relationship. People will see you doing it and think 'poor bloke' (your partner) and will think you are being unkind to him.
Is that what you want people to think?
Sorry, if this sounds harsh, I don't imagine you intend these things - but unconsciously part of your brain is wanting to send these messages, for some reason.