I finally had a chance to look at this further and found three possible issues that prevent seeing the Laowa 10-18mm lens profile.
1) The profile needs to be placed in the below folder and LrC restarted to load it.
Windows—C: \ Users \ [your username] \ AppData \ Roaming \ Adobe \ CameraRaw \ LensProfiles \
Mac—Macintosh HD / Users / [your username] / Library / Application Support / Adobe / CameraRaw / LensProfiles /
2) This profile is for non-raw files (JPEG, TIFF) so you won't see it if a raw file is selected. The profile as written is located in the Lens Profile Make Sony listed as LAOWA 10-18mm F4.5-5.6 C-Dreamer Ultra Wide ZOOM. Select a JPEG or TIFF file and it will appear as shown below.

3) To use this profile with raw files you need modify the below line
from False to True using a text editor. Then save it with a new name as shown below.
LAOWA 10-18mm F4.5-5.6-FOR-SONY-Raw.lcp
<stCamera:CameraRawProfile>False</stCamera:CameraRawProfile>
<stCamera:CameraRawProfile>True</stCamera:CameraRawProfile>
It will appear as shown below in the Lens Profile selector when a raw file is selected.
