Rapunzel, Rapunzel, let down your hair!
Jelly, &nbsp;43 41 40 38 34 33 32&nbsp; 31 bytes

There's probably a much Is there a shorter way though! ? ...this was quite some golfing!

‘:3;ạ¥⁸4ẋ+;€⁹¦7Ṛṭ;8ị“øŻPLC»
ạç&gt;


A full program printing the result*.

Try it online!

How?

‘:3;ạ¥⁸4ẋ+;€⁹¦7Ṛṭ;8ị“øŻPLC» - Link 1: number, abs(hair-tower); number, (hair &gt; tower)?
‘                           - increment -&gt; abs(hair-tower)+1
 :3                         - integer divide by 3 -&gt; (abs(hair-tower)+1)//3
                            -   ...the remainder amount after removing 2/3 rounded
      ⁸                     - chain's left argument, abs(hair-tower)
     ¥                      - last two links as a dyad:
    _                       -   subtract (yields the 2/3 rounded amount)
   ;                        - concatenate
       4ẋ                   - repeat 4 (vectorises) (i.e. [[4,4,...],[4,...]])
         +                  - add (hair &gt; tower)? (vectorises) (i.e. 4s-&gt;5s if so)
             ¦              - sparse application:
          ;€  7             - of:  concatenate €ach with a 7
            ⁹               - to indexes: chain's right argument, (hair-tower)?
               Ṛ            - reverse the list
                ṭ           - tack (hair-tower)?
                 ;8         - concatenate an 8
                    “øŻPLC» - compression of the word "Abroach" &amp; the string "!B"
                   ị        - index into "Abroach!B" (1-indexed &amp; modular, so 0-&gt;B)
                            - implicit (smashed) print

ạç&gt; - Main link: number, hair; number, tower
ạ   - absolute difference -&gt; abs(hair-tower)
  &gt; - greater than? -&gt; (hair &gt; tower)? (1 if so, else 0)
 ç  - call the last link (1) as a dyad


* As a monadic link it returns a list of characters and lists of characters e.g. ['B', [['o', 'o', 'h'], ['o']], '!'], as a full program the implicit print smashes this e.g. Booho!