Merging two tables in sql with specific conditions: sql server

I have these two datasets:

DF1:

DF2:

Desired:

Details: The first table has information on a patients hospital in-patient visits. The 2nd table has information on whether an inpatient visit led to an ICU visit. I would like to create a third table tracking if patients were admitted to the ICU within 30 days of their in-patient discharge date. In the case above, the patient had 2 in-patient visits (DF1) and both discharges for those visits were within 30 days of their 1 ICU visit (DF2). I would like that ICU visit to only count for one of their initial in-patient visits (it does not matter which one if both are within 30 days).

The code I currently have is this:

select distinct
                d.PT_ID,
                d.Hospital_ID,
                d.Admit_Dt,
                d.Discharge_DT,
                d.Discharge_ID,
                t.Service_Code,
from #df1 d
                left join #df2 t
                        on t.PT_ID = d.PT_ID and t.ICU_Admit_Dt between d.Discharge_DT and 
                        DATEADD(day, 30, d.Discharge_DT)
order by PT_ID

What is currently happening is that the ICU visit is being counted for each of the initial discharges which is leading to an over count: (see below):

Current Output: