Cascade Software, a growing tech firm, has just distributed a dividend of $$3\mathrm{.}00($D$0=$ $$3\mathrm{.}00).$ Over the next $3$ years, the company expects to experience an aggressive growth phase with dividends growing at $20\%$ annually. After this period, the growth rate is anticipated to normalize to a steady $5\%$ per year as the company matures. The investment community requires a $10\%$ return to invest in Cascade Software given its current risk profile.

Determine the present value of Cascade Software's stock considering both the phase of nonconstant growth and the subsequent period of constant growth. $($Hint: P$0)$