Would something like this do it?
No, because that's a latching, not momentary, switch.
Latching pushbutton switches usually have a detent where the button is outward and the circuit is open, or inward and the circuit is closed. Pressing the button will latch it inwards and will close the circuit and keep it closed until you press the button again and it pops out. A momentary switch is typically normally open (NO) and pressing it in will close the circuit *so long as you hold it down*.
It seems you want to press a momentary button once to change the state of the power supply from on to off and off to on, without the button itself latching into the on or off position. A momentary button only closes (or opens depending on if it's normally open (NO) or normally closed (NC); a latching button is either latched into the open or closed position. The goal is for the momentary switch to toggle the bistable relay from open to closed or closed to open.
Compare the action to the Turbo switch which latches inward and must be pressed again to unlatch, and the reset switch which returns to the original position as soon as you let go.
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