BUG: Fix Index.equals between object and string #23714

Job	Run time
Linux-32-bit	18m 45s
Linux-Musl	15m 30s
Pyodide build	25m 35s
python-dev	0s
macos-13 actions-310.yaml	43m 53s
macos-13 actions-312.yaml	48m 18s
macos-13 actions-313.yaml	38m 21s
macos-14 actions-312.yaml	19m 44s
windows-latest actions-313.yaml	43m 16s
macos-14 actions-310.yaml	28m 50s
windows-latest actions-310.yaml	35m 22s
macos-13 actions-311.yaml	34m 17s
windows-latest actions-311.yaml	38m 33s
macos-14 actions-313.yaml	22m 0s
Numpy Dev	16m 21s
windows-latest actions-312.yaml	35m 37s
ubuntu-24.04 actions-310.yaml	48m 12s
macos-14 actions-311.yaml	26m 21s
Pyarrow Nightly	20m 21s
ubuntu-24.04-arm actions-310.yaml	35m 55s
ubuntu-24.04-arm actions-312.yaml	34m 47s
ubuntu-24.04 actions-313.yaml	47m 40s
Future infer strings	44m 59s
Pypy	1m 16s
Future infer strings (without pyarrow)	38m 21s
Locale: it_IT	23m 58s
Minimum Versions	22m 55s
Downstream Compat	5m 19s
ubuntu-24.04-arm actions-311.yaml	34m 4s
Freethreading	20m 54s
ubuntu-24.04 actions-311.yaml	43m 38s
ubuntu-24.04-arm actions-313.yaml	34m 35s
Locale: zh_CN	24m 53s
ubuntu-24.04 actions-312.yaml	44m 26s
	16h 56m 56s

Provide feedback