If you have data loss on a flaky hard drive and it has high value stop immediately and go to a pro. I've been down this road where the HDD proceeded to progressively ruin itself.
Not so long ago I manually restored an accidentally deleted luks partition and felt quite accomplished for it. I was using testdisk https://www.cgsecurity.org/ and it worked. Who would you recommend mailing a drive to for recovery? I phoned a place I found in a search engine but it felt like a scam and I also not sure who to trust with sensitive data restoration.