Rechargeable LED light understanding

I have a rechargeable LED torch light. When I switch on, the torch light turns on. But if I connect it to the wall socket to charge the battery and while doing so if I turn on the switch, the torch light doesn’t turn on. If i disconnect it from the wall socket then turn on the switch, the torch light turns on.

I'm guess the circuit diagram of this rechargeable light is the below one.

Why it is not charging and giving light at the same time.

(Moderator's node: LEDs Direct to Mains Circuit removed.

We many not discuss this topic on this forum.

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