How to control squarewave oscillator with comparator output? (LM339)
U1b can be disabled from oscillating by dragging pin 5 to +5V or by dragging pn 4 to ground. I favour taking pin 4 to ground because then the 70ohm load is not being powered at all when disabled.

To do this I would connect the output from U1a via (say 1k) to pin 4 of U1b. Because it is an open collector output it will do nothing when not active so get rid of R3 to ensure this.

Now this may mean that the pot on U1a operates in reverse but that can be fixed by swapping the circuits on the input pins of U1a.

If there is an unforseen impedance on the inactive output of U1a that disturbs the oscillations of U1b then maybe a diode connection to U1b is better (cathode to U1a o/p)