I am wondering if there is any reason the following build does not work:
Alice is a Bugbear multiclassed Sorcerer/Fighter (Battle Master) with the Spell Sniper feat, and she casts booming blade.
The range of booming blade is usually 5 feet. However, she has Spell Sniper which doubles the range to 10 feet, and she uses Distant Spell, which doubles the range again, to 20 feet.
She is holding a reach weapon, which has a reach of 10 feet. And she uses the Battle Master maneuver Lunging Attack, which increases the reach to 15. She then benefits from the Bugbear's Long-Limbed Feature, which increases the reach to 20.
Thus booming blade has a range of 20 feet and Alice has a reach of 20 feet, and so she can use booming blade from 20 feet away.
Is this correct? Have I correctly interpreted how these features work together to allow booming blade to work from 20 feet away?