Debating on whether to go to the hospital to get stitches for this cut

Superglue and duct tape are the way to go.

hmmm.... no idea.
I don't want to see the cut.
However! There is a product one can buy at most local Rite Aide, Targets or Walgreens called liquid bandage. It burns - it feels like super glue - its pretty great. If this will keep it closed and aide in stopping the bleeding, this would be your best bet. if this does not work, stitches would likely be the right direction to go.

You don't say how deep it is. Has the bleeding stopped?? If the bleeding has stopped most likely it will be ok.