If you want Google Play Services running on 4.0.4, you need the version of 10.2.98 (240-184422738) .
Based on community solutions for "Android Afterlife" scenarios, here is the necessary information to get it working 1. Last Known Compatible Versions Google Play Services Apk Download For Android 4.0.4
For a device running Android 4.0.4 (Ice Cream Sandwich), official Google Play Services support ended in February 2019 If you want Google Play Services running on 4
The last official version of Google Play Services that supports Android 4.0.4 is (released in early 2019). Google Play Services Apk Download For Android 4.0.4
Any device running Android 4.0.4 is over 12 years old. Replace it with a budget Android device (Go Edition) running Android 11 or newer. Cost is often under $100 USD.