Let \(y=y(x)\) be the solution of the differential equation \(\frac{dy}{dx}+3\left({\tan }^{2}x\right)y+3y={\sec }^{2}x\…

Let \(y=y(x)\) be the solution of the differential equation \(\frac{dy}{dx}+3\left({\tan }^{2}x\right)y+3y={\sec }^{2}x\), \(y(0)=\frac{1}{3}+{e}^{3}\). Then \(y\left(\frac{\pi }{4}\right)\) is equal to

[JEE Main 2025, 3 Apr (Shift 2)]