Hi,
I have done something like this for RC model aircraft glow plug and input throttle pulse control interlocking. In other words, when the glow plug is turned on (one pulse), the throttle (another pulse in) can no longer be changed. This helps to start the glow engine more reliably.
Anyway, I am designing a donut making machine timing control circuit board with ICM7555CBAZ-T (single 555) as I am typing this.
I short, I think fit your profile. For my other projects and how they were completed, please take a look at my profile.
If interested, give me a holler.
Best regards,
Brian