Looking at the supplied report and specific to the No Sound issue.
Though, in conscience there are other important elements about this computer worth mentioning
Q - Battery failure - Your battery is reporting that it needs to be serviced.
Q - Battery: Health = Service Battery - Cycle count = 568
A - This is self explanatory and would require immediate attention.
A - Batteries are considered Consumable Products. Over time it will degrade to a point where it needs to be replaced. The usage is normal as the capacity will go up and down all the time and never stay always at 100%. Apple Batteries are rated for 1000 Full Battery Cycles and / or 80% Capacity before needing Evaluation or replacement.
Q - Unsigned files - There are unsigned software files installed that could be malicious and should be reviewed.
A - This is self explanatory and worth the users time to investigate the third party software used on this computer
Q - Low disk space - This computer is running critically low on free hard drive space.
Q - disk0 - APPLE SSD TS064E 60.67 GB (Solid State - TRIM: Yes)
A - Running this machine as it is with the Third Party Software installed with such a small Internal Drive is a receipt for issues
A - It is generally considered good computer practices to keep between 15 % and 20% of the Total Drive Capacity as Empty Space . That would mean between 9.6GB to 13 GB as Empty Space.
Q - No Time Machine backup - Time Machine backup not found.
A - As it stands now - the user is running without any Safety Net. They are prepared to loose all personal data and believes that this lost data is not important enough to protect.
A - Time Machine Backup is very useful and is built into the operating System
Q - Apps crashing - There have been numerous app crashes.
A - This dovetails into the Amount of RAM on this computer as well has small internal drive plus the Age of this computer. Going on 10 - 11 years old.
A - Computer parts to fail over time and do not last for ever
Hardware Information:
Q - MacBook Air (13-inch, Mid 2012)
Q - Obsolete hardware - This computer may be considered obsolete.
Q - 4 GB RAM - Not upgradeable
A - All is not lost though.
A - If the user wishes to explore the Apple Trading In option where the Value of the exiting machine could be used against the cost of a new Apple Computer
Or Shop Refurbished Apple computers at an Apple Reduced Cost
Have used both previously and have been satisfied each time.
Audio Plug-ins:
Q - ImmersedAudio: 1.6 (Immersed Inc. - installed 2022-10-02)
Q - VirtualDesktopSpeakers: 0.3.0 (Virtual Desktop, Inc. - installed 2022-09-21)
Q - OculusRemoteDesktopASP: 1.0.1 (Facebook Technologies, LLC - installed 2022-11-25)
Q - VirtualDesktopMicrophone: 0.3.0 (Virtual Desktop, Inc. - installed 2022-09-21)
A - Any of the Above Plug-In maybe the Source of the No Sound on this computer
A - All the above are fairly recent installations so suggest removing one and then test. Keep testing after each is removed to check if Sound on this compute returns to Normal - working