I installed FMOD Studio ver 2.03.07 and Unity 2022.3.61f1 and installed the FMOD package for Unity via the Asset store.
After using the integration wizard for FMOD and having all conditions checked as green, I loaded FMOD Studio and created a new project. Then, I created a new event, added a timeline sheet and placed an audio clip in the timeline. Then, I assigned the event to the master bank, built the project and saved it.
When I add and event emitter component to an empty game object in Unity and hit the search button, there are not any events listed.