Reaching out to a friend after confessing to them

I got to a point where I had developed a small crush on a friend. Told them, they don’t reciprocate but really wanted to make future plans/do stuff with me again and were generally a lovely person about it.

I don’t feel awkward about it tbh but I have been giving myself some distance since then to let the feelings fade, go on dates, and stay busy. I definitely think I’m coming to a place where I can be this person’s friend and it can all be 100% platonic.

My question is, how do I do this? I was thinking of just keeping it casual and. sending a tiktok that I thought they’d find funny. I’ll probably wait a little longer for my own sake to make sure I’m feeling ok to move forward but yeah. Would love other people’s perspective on:

How you got back in touch and how long you waited to.