Satsuma Tree help, split amongst the the top most branch..

I was in the backyard this afternoon and looking over my oldest satsuma tree, when I noticed at the very top/most vertical growing branch that there was a split right in the middle of where it branches into two branches.

I picked all of the fruit off last month and it was not there before when I did so and I did not notice it was split about two weeks ago when I last looked at it.

I went ahead and pulled the joint back together and then wrapped with electrical tape, hoping it will graft itself back together. I also further secured the "V" with zip ties so it can't pull further apart. One of the branches that splits off at the joint is really long and is the heavier of the two.

Off of that branch I do have new growth growing out it's side. I'm thinking about lopping off the most of the heavier branch a couple of inches above the new growth to alleviate some of the pull weight on the split.

Doing so however would remove the top most part of the tree and I would be hoping that the new growth becomes the new "main" growth.

Is my approach even correct for this situation? I just bought the property last year and discovered it had a Satsuma tree in the back.

I'm fairly new to messing with citrus and this was the only thing I can think of? Anyone have any tips on what I should do different or do additionally to address the split? I would consider it's location part of the main growth of the tree and I'd like to keep it from getting worse.