Vectorize a simple logo - from JPEG TO AI (vector only)

My project is to vectorize a logo from JPEG to AI format. The existing logo is in JPEG form and I do not require any additional modifications.

I need someone who is experienced in using vector editing software to assist me with this project. Thanks for your help!

please see attached image for reference it is the stetoscope logo the lines and the text that need to be vectorized