print tree in specific format

[gmankab]

c = rich.console.Console(
    width=50
)

tree = Tree(
    'tree'
)
tree.add(
    'long string ' + ''.join(str(i) for i in range(100))
)
tree.add(
    'short string ' + ''.join(str(i) for i in range(10))
)

output i want to get after printing this tree:

tree
├── long string 0123456789101112131415161718192021
22232425262728293031323334353637383940414243444546
47484950515253545556575859606162636465666768697071
72737475767778798081828384858687888990919293949596
979899
└── short string 0123456789

in case i am printing tree with no_wrap=True, it cuts what does not fit:

tree
├── long string 0123456789101112131415161718192021
└── short string 0123456789

long string is cutted, and there is nothing between lines 2 and 3, but I want nothing to be cut

in case i am printing tree with no_wrap=False:

tree
├── long string 
│   0123456789101112131415161718192021222324252627
│   2829303132333435363738394041424344454647484950
│   5152535455565758596061626364656667686970717273
│   7475767778798081828384858687888990919293949596
│   979899
└── short string 0123456789

1. numbers are started printing prom line 3, but i want them to start from line 2
2. there are extra inserts of │ in lines 3, 4, 5, 6, and 7, i want to prevent this inserts