Based on my experience (including lack of the ability to stick to any exercise regimen long-term), I second GP's post.
I also agree that doing exercises helps recover that second type of energy. It's a positive feedback loop - but the problem is, you won't be able to start it if you're too depleted on the "starting energy". Like with an ICE car - the engine does recharge your battery, but you won't be able to start it if the battery is already dead.
It's also only anecdata for me, but I do have hobbies that qualify as sports but after an exhausting day at work I want nothing less than to also exhaust my body and this has been a theme forever.
Also doing any kind of exercise in the morning is the worst and it doesn't clear my mind, it makes me want to get back to bed and the motivation to start work is at a complete low. Some people may well feel refreshed or good after exercising, for me it's the complete opposite - but I don't claim authority.