Formula based off cell colors / conditional formatting?

Question on using formula's with cell formatting.


Say I have a list of companies and all those in red cells are considered 'tech' companies, whereas all those in blue are considered 'health-care' companies.

Can I create a formula in another tab that will give read 'tech' or 'health-care' in a cell based on the other tab's color?


Please see spreadsheet for more clarity.

Thanks!