Even if some of the information is outdated, although I believe it’s all still valid, the main points / TL;DR are absolutely relevant. It’s unlikely that the main bureaus will change, and although the exact steps for freezing may change over time, the emphasis on freezing is important.
The story is called “Sally” (https://en.m.wikipedia.org/wiki/Sally_(short_story)). I couldn’t find a readily available copy of The Complete Robot online, but Z-Library has it.