I've been looking at a whole bunch of reference, here's the full edit of the ones I was liking for one reason or another. Killer music throughout these.
Your logo is one long stroke, so we need to find a solution that uses that and doesn't fight against it. I think there's a few ways to do this.
One option is to simple draw it on in an interesting way. Lots of flares and beams.
Another technique that is used a lot in animation from this era is an echoing type effect. This suits the logo quite well I think.
Think Stranger Things type technique, close ups of the logo as it builds.
Twist and morph the logo into the final shape.
I started just quickly testing a few things out, seeing if anything sticks. I think it would be good to pick more of a direction once we've spoken.
Trying a warping animation and then layering on different effects to see how far it can be pushed with different glows, blurs and effects.
Not sure why it's pink, definitely wouldn't have to be pink.
Got to watch it doesn't get too Synthwave, they use a lot of these types of graphics.
Could be good to explore something more epic like some of these? Just got to make sure it doesn't distract from the actual film clip content.