The CDC and experts in the herpes field all believe that anything under a 3.5 on a hsv2 IgG test should be considered a possible false positive, and needs to be confirmed with a Western Blot test.
Since you keep testing with the same test, you may continue to get these really low positives, which are telling you nothing, really. At 1.23 or 1.26, you have at least an 85-90% chance of these being false positives.
You can get a Western Blot test from your doctor, or from Terri Warren on her site - https://westoverheights.com/getting-a-herpes-western-blot/ - but you'll have to self-pay.
You said this was routine - have you had any symptoms?
If you need info to show your doctor -
https://www.cdc.gov/std/tg2015/herpes.htm - info about the testing is about 1/4 of the way down.