A person may be the subject of a petition for court-ordered involuntary treatment pursuant to this part if that person:(1) Reasonably appears to meet the criteria for involuntary admission provided in s. 397.675; (2) Has been placed under protective custody pursuant to s. 397.677 within the previous 10 days; (3) Has been subject to an emergency admission pursuant to s. 397.679 within the previous 10 days; or (4) Has been assessed by a qualified professional within 30 days.