Something to ponder:
How long will a satellite stay in orbit at 100 km (Karman Line)?
If your rocket goes to 99.9 km does that mean you have not made 'space'?
Even von Karman thought space starts lower than 100 km.
Neil Armstrong flew the X-15 to ~207,00' and needed reaction control rockets to control the vehicle...
The space shuttle needed to drop below 160,000' to make use of its wings.
Highest a balloon has reached was 176,000'
200,000' looks to me like space , from the above and pictures taken at that altitude