Clark Construction's lawsuit is Case No 22-2-20747-7 SEA filed with the King County Superior Court[1].
That being said, it never ceases to amaze me how much friction there is in attempting to access public records in our country's court systems; at least King County Superior Court uses Daily Journal tech, which isn't the grift-by-undesign dumpster fire that the Western District of Washington's PACER interface is, but you'll still need to register a username to dive deeper.
[1] https://dja-prd-ecexap1.kingcounty.gov/?q=node/420/3327963/F...