Many (or at least some) compost tea fans emphasize that the tea should stay aerated as it ages. That encourages aerobic microbes to multiply, and those are the beneficial ones.
Compost tea carries very few mineral nutrients, it is too dilute. But it's the beneficial microbes that are are the main gold in compost tea.
I saw a YouTube video after my own heart, where a fan of Rube Goldberg set up a little air pump and some aquarium "bubble stones" in a 5-gallon bucket for 'extra oxygen'! I wonder if he played music for them, too?
Others just leave the bucket in the shade (cool water absorbs more oxygen, faster, than hot water, and warm microbes metabolize faster than cold ones).
And stir it each time they walk by.
And maybe don't fill a deep bucket all the way to the top. Shallow water has more surface area per gallon than deep water, and oxygen is absorbed through the surface of the water.
Some people even use tea (finished compost, steeped and aged in aerobic water) as a foliar spray to increase the population of beneficial microbes on the leaf surfaces, to DIScourage disease microbes like rust or mildew. I don't know whether it WORKS for all plants and all gardens, but I like they way they think.
Hey! Maybe adding just a LITTLE hydrogen peroxide to steeping tea would supply more oxygen without disinfecting the compost!