A mutual fund manager, has a $$40$ million portfolio with a beta of $1\mathrm{.}00.$ The risk$-$free rate is $4\mathrm{.}25\%,$ and the market risk premium is $6\mathrm{.}00\%.$ She expects to receive an additional $$60$ million, which she plans to invest in additional stocks. After investing the additional funds, she wants the fund's required return to be $14\mathrm{.}00\%.$ What must the average beta of the new stocks be to achieve the target required rate of return?