Adding "Reverse Direction" Sync to Triangle Core Oscillator

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Good question! I’ve added sync to a triangle core LFO

Adding sync to an LFO

So I started off with the David Hillant LFO design: [Screenshot_1] I have it working on my breadboard. Now I would like to add this: [lfo_sync_r01_magic_smoke_electronics_142] Apparently I cant just plug this setup in to the existing circuit (I tried). I imagine because the resistors are the wrong value. Any ideas on how I might get this to work?

but of the sort that resets the waveform to its maximum or minimum peak. If the voltage source is adjusted to give an intermediate value (such as 0) then the wave continues in whichever direction it was going before the sync.