TPA6102 and 600 Ohm headphones, is 2x9V batteries enough?

Greetings, first post here and mostly noob in analog electronics, so please be gentle..
So I found in an thrift store Philips N6330 (sibling of AKG K240), which are 600 Ohm headphones and need something to drive them and there's not as many options as I expected. Not ready to invest more than pocket change yet so found this TPA6120 board on aliexpress for ~7EUR which looks like it should do the trick for now, but I don't have a suitable +- 12V transformer readily available. I suspect this board has something like pair of LM7809s on it as it wants +-12V AC, but don't have any means to verify it.

So the question is, if I bypass rectifiers and connect two 9V batteries, would that be enough to drive 600 Ohm headphones, at least to see if I like their sound and buy something better?

The other option is get +12V and -12V DC from old ATX power supply, would that be a better choice?

NEW-TPA6120-Headphone-Amplifier-Board-HIFI-TPA6120A2-Audiophile-Headphone-Amplifier-Board-Zero...jpg
 
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Here is a helpful (edited) description:

"TPA6120A is HIFI stereo headphone amplifier. It can provide 800mW power to 600Ω with a ±12V voltage. The operating voltage range is ±5~±15V."

According to the description, the board can run off +/-9 V, but I suspect batteries would not last very long.
 
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