GTC Inc. currently has $40\%$ debt and $60\%$ equity and its levered beta is $2\mathrm{.}8.$ However, the company's CEO believes that the company should use more debt. If the company increases its debt to $50\%,$ what is the new levered beta for the company? If the risk$-$free rate is $4\%$ and the market risk premium is $8\%,$ what is the new cost of equity? The tax rate is $40\%.$