Hello! My name is Mustafa, and I am an Independent Advisor as well as a long-time Microsoft user. I'm sorry that you are experiencing this issue, and I am hopeful that I will be able to help you find a satisfactory solution.
The error that you are getting is related to storage space issues.
I also do play forza horizon 5, and the storage requirement is 110 GB for a windows device.
So do you have all of this storage space in one drive? a common thing that we do is that we divide the ssd's into parts. So are you sure that you have all of the 117 gb is one place? and if yes can you share a screenshot of the error?
Also, do you meet other hardware requirements for forza horizon 5?
do you have the latest version of windows and drivers?
if the issue persists can you free up more storage space, this should fix this error considering that all of the available storage is in one place.
Please let me know if this doesn't work or if you need further assistance.
Warm Regards,
Mustafa