You will be out of inspection on July 1st. You can finish up your condition inspection on July 1st, 2020, and in 2021, your inspection will be due by the last day of July, 2021, or you can complete it August 1st, before flying.
I would just like to say, thank you for referring to it correctly as a condition inspection. When people call them "conditional" inspections, it's like nails on the chalkboard to me.