What level rider am I? Beginner, intermediate? please help!!

Before getting evaluated by my instructor, I'd really like some opinions on what level rider I could be, beginner or Intermediate. I ride western, I don't do any sports in particular I just like being on a horse. Based on that, please tell me what level of rider you think I am. I am also 13 years old, I started riding in the 2nd grade doing english, then switched to western. I've been riding on and off since then. I just started doing more lessons, I've had over 30 hours experience on horses and over 50 around them.
I am capable of:
Walk, trot, and canter
Using leg (inside, outside)
Posting
Starting on the right lead
Correct balance
How to tack up a horse alone
All the grooming basics
How to catch, load, tie, and bathe a horse
Using quieter hands
Being comfortable around horses (i have no fear whatsoever)
Cleaning stalls
Calming down a horse
Stopping a horse
Emergency dismount
I am yet to have fallen off a horse, but I have had several experiences in and out of saddle where a horse has spooked.
The reason I am asking for help is because I would like to lease a horse soon and in some of the ads, people say "need an intermediate rider", therefore I would like to know what I rank as. Thank you!!

Here is also a video of me riding, I've had more lessons since then, so please don't be too harsh on my ranking

You don't look bad. You seem to have confidence and balance. The only thing I noticed is at the canter/lope, your horse is on the wrong lead, but you didn't correct it. With that being said, you are off to a good start, and I would say advanced beginner. Keep it up!

I think that you did fine in the video, but I could not ever call someone with only 30 hours in the saddle (as per your own post) intermediate. Advanced beginner, yes. Also, how much riding have you done outside of an arena?

An intermediate rider is one who can really start to effect the horse. So, if the horse is cantering and starts to fall into the circel (as your horse was doing somewhat in that video), the intermediate rider knows how to help the horse correct that sort of behavior. The beginner or advanced beginner can ride the hrose, even if it isn't on a perfect circle and slows down suddenly , or changes directions a bit, but tends to be more of a passive passenger rather than a driver.

I vote for advanced beginner.

I agree with Tiny. I can't even begin to estimate how many hours I've ridden but still consider myself a beginner so I can't justify calling someone with only 30 intermediate. Advanced beginner is my vote too. Oh and for a first lease you probably want a good beginner horse anyway. That would let you really focus on your riding before moving up in horse.
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I'd say advanced beginner too. My cousin can pretty much do most of what you can do and some things you didn't mention and we call her an advanced beginner.

There's nothing wrong with being an advanced beginner. It's one step closer to being more experienced.. Remember, everybody must start somewhere!

Good luck to you if/when you lease a horse.