Although the three conditions proposed by Connor and Ruby may not seem related on the surface, they are all part of Connor's plan to help Charles gain control over Salem's business.
Connor himself did not expect to have some unexpected gains during his visit to the Medicine King's Valley. While he originally came to collect some medicinal materials, he unexpectedly obtained some other rewards.
Once Ruby's father's illness truly improves, the Yandell family will have only two choices. The first option is to honestly hand over 10% of their shares.
Connor knew that her father currently only held less than 50% of the shares, and the rest were dispersed among other shareholders. Therefore, once Connor acquires this 10% of the shares, he will already become the second largest shareholder of the Yandell family. Furthermore, during this time, Charles can purchase some shares from other minority shareholders.