How many losses are suffered in the Hydrophobic-Polar protein folding model if we fold randomly?

Instructions
Upper bound The possible locations for winning points are:
(0,9) (0,11) (0,19) (0,23) (0,27) (0,31) (0,39) (2,9) (2,11) (2,19) (2,23) (2,27) (2,31) (2,39) (8,11) (8,19) (8,23) (8,27) (8,31) (8,39) (9,16) (9,20) (9,26) (9,32) (9,38) (10,19) (10,23) (10,27) (10,31) (10,39) (11,16) (11,20) (11,26) (11,32) (11,38) (16,19) (16,23) (16,27) (16,31) (16,39) (19,26) (19,32) (19,38) (20,23) (20,27) (20,31) (20,39) (23,26) (23,32) (23,38) (26,31) (26,39) (27,32) (27,38) (31,38) (32,39)
Thus we have an upper bound of 56.

String to fold: 

0101111100001111011001101100111001111100

* or 😱 means backing up from a dead end.

Random fold:
Preformatted text view 
    0               
    ↓               
  0←1               
  ↓                 
1←1 1→1→1           
↓   ↑   ↓           
1→1 0   1           
  ↓ ↑   ↓           
  1 0   0           
  ↓ ↑   ↓           
  0→0   1 0→1       
        ↓ ↑ ↓       
        1→0 1→0     
              ↓     
          0←1←1     
          ↓         
          0→1→1→1→0 
                  ↓ 
              0←1 0 
              ↓ ↑ ↓ 
              0 1 1 
                ↑ ↓ 
                1←1
👶 🔴
◼️
🔴 ◼️ 🔵
◼️
🔵 ◼️ 🔵 🔵 ◼️ 🔵 ◼️ 🔵
◼️ ◼️ ◼️
🔵 ◼️ 🔵 🔴 🔵
◼️ ◼️ ◼️
🔵 🔴 🔴
◼️ ◼️ ◼️
🔴 ◼️ 🔴 🔵 🔴 ◼️ 🔵
◼️ ◼️ ◼️
🔵 ◼️ 🔴 🔵 ◼️ 🔴
✔️ ◼️
🔴 ◼️ 🔵 ◼️ 🔵
◼️
🔴 ◼️ 🔵 ◼️ 🔵 ◼️ 🔵 ◼️ 🔴
◼️
🔴 ◼️ 🔵 🔴
◼️ ◼️ ◼️
🔴 🔵 🔵
◼️ ◼️
🔵 ◼️ 🔵
Current fold sequence:
↓←↓←↓→↓↓→↑↑↑→→↓↓↓↓→↑→↓→↓←←↓→→→→↓↓↓←↑↑←↓

Current number of incidences Wins achieved: 1 Losses suffered: 7

Try again with the same string

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