[Mondial]

It appears that the broken coil wire does connect to the left lug. Does the left lug black wire connect to the antenna terminal of the radio? It seems that the broken wire connects to the primary of the coil which should be the antenna input.

Although Philco seems to call it the RF coil, it is more usually called the antenna coil. It is not involved with the oscillator as it couples the antenna signal into the grid of the RF amp tube.

I would try splicing the broken wire and see if you then have continuity from the left terminal to the lower right terminal, which should be the connections to the primary winding.