I'm trying to implement a controlled $\frac{\pi}{2}$ rotation along y axis and z axis (two individual gates) in Qiskit but I'm stuck. My thought was calculating the square root of the y and z pauli matrices (done), and implement using the CU3 gate. However, I wasn't able to find the correct parameters ($\theta, \phi, \lambda$) for the matrices I got. Is there a workaround for this? Thanks in advance.
Edit: I know if I remove the overall phase of $\sqrt{Y}$ then I can get the correct parameters, but I think since this is not an overall phase of all qubit so if I remove the phase I'll get a different gate?