> someting strange ... R3 - R11 connection ... that kind of PS Is really confusing
Draw it out "conventional". DC power flows top down.
As an amplifier: instead of ~~110V of DC supply, this stage feels more like 60V total supply. But it is the 1st stage, signal level is low, this is OK (for a *cheap* amp). The 0.1uFd cap keeps the V1A cathode "grounded" for audio frequencies. The stage will work as an audio amplifier.
Why would we do such a terrible thing to an audio amplifier stage?? Well, this transformerless power supply can be plugged-in either way. If the 120V wall outlet is 120VAC and "zero", with pre-1960s plugs you had a 50:50 chance that B- would be 120VAC. This might hum, and you might flip the plug for less hum. However the "Neutral" wire is never dead-zero. And there are some conditions where it has a substantial voltage to dirt-ground.
Look at this user. The bunny is barefoot, on concrete, leaning on a steam radiator. These are all good grounds, or at least better conductors than a living body. And this body is holding bare-metal connected to the amplifier and its uncertain connection to lethal voltages.
This particular amplifier seems to use a trick that was legal for a few years. If you work it through, the "only" path from user to wall-outlet is through R11 C3. As drawn, this is not a lethal shock. 4.3mA is less than 5mA and 5mA is still the standard for anti-shock GFI cut-outs.
But parts fail, and the cheap capacitor often fails SHORT. (Likewise, heater-cathode insulation can short, and a later standard apparently required this first heater be isolated.)
And the amplifier is less good than it could be. And the 0.1uFd is not a great ground for hum.
1920s-1940s automobiles had no seatbelts or dual tail-lights. Most of the old cars I see fixed-up and run on the road have seatbelts and full tail-lights now. This is basic save-your-ass thinking. Likewise these old shock-hazard amplifiers *MUST* be re-rigged with isolation transformers... this isn't 1959 anymore, and you are not broke young parents trying to encourage your child with music while also feeding the kid.