Public Library facility, if you don’t mind (6)
I believe the answer is:
please
'if you don't mind' is the definition.
(I've seen this before)
'public library facility' is the wordplay.
'public library' becomes 'pl' (this could be a standard abbreviation I've not previously seen).
'facility' becomes 'ease' (I've seen this before).
'pl'+'ease'='PLEASE'
Can you help me to learn more?
(Other definitions for please that I've seen before include "Delight, satisfy" , "Gratify as by a sleep" , "cheer up" , "Want" , "Gratify, make contented" .)