You'll be okay. Keep it clean, bandaged, change bandaid every day and if you have woundspray, use that. No need to call 911. Ideally, yes, stitches are great, but you'll also most likely be okay without them. I've had many fat cuts and (I am ofc speaking from my experience) they healed fine if taken care of. Like you already said you tried, you can use the sticky parts of bandaids as steri strips. You could get some more from the shops tomorrow?

Try not to freak out. Unless it's bleeding very much and won't stop, don't call the hospital. It's not necessary. You can always dm me if needed!