I have two laptops. One I use mostly for work stuff. Even though I use it for work, it's my own personal laptop and not corporate owned. The other laptop I use for personal activities. They both have Windows 10 Pro on them. The work laptop died. Only the power LED lights up and nothing else happens when I turn it on (I suspect the bios is bricked).
I removed the SSD from the work laptop and placed it into an empty slot in my personal laptop. The BIOS recognizes both SSDs but it only boots from the original personal SSD. From my personal Windows 10, I can access my work files from the work SSD but I obviously can't run any of the installed programs. I don't really feel like installing the work apps from scratch on my personal SSD.
What I want is to dual boot from either SSDs:

However, the PC just boots into the personal SSD automatically. How do I tell windows boot manager that the second SSD has a valid Windows 10 OS on it and add it to the boot list?
Before anyone downvotes and/or closes the question for being a duplicate, this is the only similar question I found. Even though I'm not really sure what that post is asking, I'm pretty sure it's not how to add a second SSD to windows boot manager.
Also, I can specify the boot priority in BIOS and switch between the two hard drives, and this works just fine, but, again, that's not what I'm asking. My goal is to get something like in the image above.