First determine the mount unit name with:
systemctl list-units --type=mount
It will likely be named after the mountpoint in /mnt such as
mnt-syncthing\x2ddeb.mount
for a mount point of /mnt/syncthing .
Then add this mount unit to the After= directive in your service, such as:
After=network.target mnt-syncthing\x2ddeb.mount
NowEdit your service with
systemctl edit --full [servicename.service]
to preserve the config after an update. Now your service will wait for the mount before starting!