たぶん => Maybe... N4
Speculation
放題 => doing as one pleases; to one's heart's content; leaving uncontrolled N1
ぶり => style; manner; way​ N1
たぶん => perhaps; probably N4
~ぶんには => If it's just within range...then N1
Scope
~ぶんには(~分には) => as long as ~ N1
~ぶん (だけ) => in proportion to; just as much as N1
Related, corresponding
ぶりに => for the first time in (period of time) N3
ぶる => Acts like A, pretends as if A N1
Adjectival, Descriptions
ぶる => assuming the air of; behaving like; to pretend / act like ~ N1
~をたて(~を経て)      => through; after; via N1
を => Auxiliary words N5