Reality check. You aren't in any position to do this now. That doesn't mean you can't one day, but you just walked in on a 'club' that's been busy at this for ages. If you aren't rich the only other way to get there is ride somebody else's horse, cause it is VERY expensive, the riders pay for everything, they only get paid to ride and train, so the income is nil. Clinton Anderson isn't going to get you into Olympic Stadium jumping or Eventing either. And I'm not sure you need to be jumping 5 feet after only 3 yrs riding. Get your core skills down before pushing the envelope or you will set yourself up for failure.
So, other than realizing you are WAY WAY at the beginning of this situation, what can you do to pursue advancing your equestrian career? Ride ride ride learn learn learn work work work. Look up Margie Goldstien Engle, Bruce Davidson, and David and Karen O'Conner to see some truly amazing riders. Also, are you willing to go thru all this and still not make the Olympic short list? You need WAY more terminology to know what you are getting into. Get some dressage lessons. All jumpers at that level are also at least proficient 2nd level dressage horses, it's the basis of all training. You want to do jumping? Do you want to do stadium or eventing? You really won't know after just 16 lessons and just 2 yrs. This takes decades of work. Try Practical Horseman instead of Horse Illustrated. Get lessons on different horses with different trainers and take your horse as far as you two can go together, and it's probably not time for a new horse yet. You need to keep yourself mobile to be able to take advantage of learning opportunities that may arise and 2 horses are harder to keep than one. Enter some AHSA jumpers competitions (hunters and equitation are NOT olympic sports and for good reason, its subjective judging. Or try the USEA for 3 day eventing). Look into being a working student at a REALLY reputable stable that specializes in your discipline. I don't know how old you are, but you usually have to be at least 17 to be an 'on your own' working student. More importantly do this because you love to ride, not for the recognition. This is just a list of associations to look into and places to get started, the goal is a LONG way off. Personal note: Gambler's Choice classes are really fun and challenging.