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I'll take a kick at it, to find the circuit does not make sense, there's an error somewhere.
S8050 NPN pinout EBC, so the collector (right leg?) goes to a pad that should connect to the speaker(-). The emitter should go to ground, battery (-). Speaker (+) to battery (+).
This would mean the capacitor is factory installed backwards, it is known to happen in the sweatshops.
If the transistor pinout is flipped CBE, then still an error as the cap(+) goes to the collector which is the wrong polarity for an NPN transistor.
I don't see six wires (solder points) going to the board.
The fat trace by WL logo might just continue under the blob to the pc board's left edge. I would check with ohmmeter.
The trace along the bottom edge might be open-circuit, it looks a bit torn. I would check with ohmmeter.
I'd hate to tell you to connect power backwards- you can use a multimeter on diode-test and see if you get a reading across the cap with either polarity. Backwards should read one diode-drop I believe.
Sound chip data:
http://projects.whatimean.ch/2017/04/21/chinese-sound-chip-board-pinout/https://www.aliexpress.com/item/32714286619.html?shortkey=3ieAJFZf&addresstype=600