BUG: str.startswith and str.endswith with tuple argument fail for "string[pyarrow]"

[ChronoJon]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

import pandas as pd
from IPython.display import display

values = ["a", None, "b"]
tuple_arg = ("a", "b")
o = pd.Series(values, dtype=object)
s = pd.Series(values, dtype="string")
a = pd.Series(values, dtype="string[pyarrow]")

display(
    o.str.startswith(tuple_arg),
    s.str.startswith(tuple_arg),
)
try:
    display(
        a.str.startswith(tuple_arg)
    )
except TypeError as e:
    display(e)  # TypeError('expected bytes, tuple found')

Issue Description

str.startswith and str.endswith methods support arguments of type tuple[str, ...]. For dtype "string[pyarrow]" this raises a type error. I've already written a fix and provide a pull request soon.

Expected Behavior

Don't throw an error and exhibit same behaviour as the object type string array and the pandas string extension array.

Installed Versions

pd.show_versions()

INSTALLED VERSIONS ------------------ commit : ba1cccd19da778f0c3a7d6a885685da16a072870 python : 3.11.4.final.0 python-bits : 64 OS : Linux OS-release : 5.15.90.1-microsoft-standard-WSL2 Version : #1 SMP Fri Jan 27 02:56:13 UTC 2023 machine : x86_64 processor : x86_64 byteorder : little LC_ALL : None LANG : en_US.UTF-8 LOCALE : en_US.UTF-8

pandas : 2.1.0
numpy : 1.25.2
pytz : 2023.3
dateutil : 2.8.2
setuptools : 68.0.0
pip : 23.2.1
Cython : None
pytest : None
hypothesis : None
sphinx : None
blosc : None
feather : None
xlsxwriter : 3.1.2
lxml.etree : 4.9.3
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : 3.1.2
IPython : 8.14.0
pandas_datareader : None
bs4 : 4.12.2
bottleneck : None
dataframe-api-compat: None
fastparquet : None
fsspec : None
gcsfs : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : 3.1.2
pandas_gbq : None
pyarrow : 12.0.1
pyreadstat : None
pyxlsb : 1.0.10
s3fs : None
scipy : 1.11.1
sqlalchemy : 2.0.20
tables : None
tabulate : None
xarray : None
xlrd : 2.0.1
zstandard : None
tzdata : 2023.3
qtpy : None
pyqt5 : None