This is from your site's published rules? If so, they need kicked up the arse, for a couple of reasons.
First, because those numbers are just wrong. 360fps (109.728m) with a 0.2g BB isn't 1.3J, it's 1.2J. (well, 1.20402J). Likewise, 420fps with 0.2 is 1.64J not 1.7J and 500 is 2.32J, not 2.4J.
Don't take my word for it, that's physics.
KE=1/2 m v2 as per
https://www.calculatorsoup.com/calculators/physics/kinetic.php or
https://airsoftnation.co.uk/fps-calculator/
They need to sort themselves out and decide whether they're chronoing with those Joule limits, or with 0.2g BBs and those FPS numbers. They're not the same.
Second, because 1.3J is also bang on the legal limit for a fully auto gun to be classed as an airsoft gun. Worse, the legal definition is the energy that its "capable of" producing using "any missile". So if you turn up with a gun that can spit out your BB of choice at exactly 1.3J with the hop set bang on, then chances are it could produce over 1.3J with a heavier or lighter BB (or a steel or lead 6m BB - "any missile") or with the hop set differently.
That's why most sites use a lower limit, generally 1.13J for AEGs and 2.3J for bolties, to give a safety margin.
Sorry to bang on about this, and it's not aimed at you, but at the site. It's really not hard to get this right, and it's literally their job. How are you supposed to stay on the right side of the site rules and the law if they don't even know themselves?