Is it permissible to open a café and serve shisha while there is mixed money and the income from shisha is forbidden? And is it permissible to give charity from the income of shisha to purify the rest of the money?

It is not permissible to open a café that includes impermissible elements, even if its owner intends to donate what he earns from it. As for someone who has fallen into this and acquired mixed earnings, he must donate an amount equivalent to the percentage of the impermissible in his wealth.