I suggest you verify that the new mount point is accessible before going any further. Check the "7. Debugging Auto Mount Problems" section in the below document. If you have problems with Linux/autofs, you can still ask the questions here but probably it's more beneficial to ask on forums dedicated to Linux.
Of course, if the mount point is accessible, but Tableau Server cannot access it, it becomes a Tableau configuration issue, and you need to give us more information about your Tableau environment such as version, what user runs the Tableaus Server and etc.
In the setting that you posted, the escaping is definitely not right, as in the Linux world, you would usually use the backslash (\) to escape special characters. So your setting should look like this (you need to escape any special characters in the password PASS as well):
/mnt/gondor/Tech\ Support -fstype=cifs,username=NAME,password=PASS,noserverino,iocharset=utf8,uid=tableau,file_mode=0777,dir_mode=0777,vers=2.1 ://gondor.DOMAIN.com/dfs/Tech\ Support/Tableau
While autofs provides some convenience, it is also difficult to debug. I suggest you use the usual mount to verify your arguments first before putting them into auto.cifs. The equivalent command for your setting is:
sudo mount -t cifs -o username=NAME,password=PASS,noserverino,iocharset=utf8,uid=tableau,file_mode=0777,dir_mode=0777,vers=2.1 //gondor.DOMAIN.com/dfs/Tech\ Support/Tableau /mnt/gondor/Tech\ Support
(You can see that the part after "-o " is the same as the part after "-fstype=cifs," in the auto.cifs file)