What happens to my profit participation rights if beel stops operating?
They remain in place because the contracts apply independently of beel.
Your profit participation rights remain in place. They are based on the contracts between you and the company. beel is not a party to these contracts, so they also apply without the platform.
Technically, the profit participation rights are represented on the Ethereum blockchain and remain there even without beel.
More on this: How are my profit participation rights protected?