I got the same problem with tattoo bumps, it really takes time to heal. Mine was bigger than yours and I waited it for a month finally healed by itself. Make sure you keep it hydrated as well with enough aftercare ointment. It'll heal just fine 😊
P.s : colors usually takes more time to settle in, depends on one's skin condition.
Here's what I have learned
1) Sometimes you have bumps that take time to heal.
2) I, like you, didn't think that I had a bump in and/or around tattoos. My dermatologist has confirmed that I am a "grower" of bumps. I have developed bumps both in tattoos and outside of tattoos post tattoo but the two don't seem to be MEDICALLY related.
3) My tattooer's to date have never tattooed a mole!