Regardless of what stamped inscriptions you find, you will be [should be] managing the remaining life of this used vessel i.a.w. API-510, API-RP-579-1/ASME FFS-1, and/or NBIC.
ASME Sect VIII *only* applies to new vessels. As soon as a vessel gets 'wet' with process chemical(s), it no longer falls under Sect. VIII. However, you will find that all the appropriate Codes will reverence back to Sect VIII in *some* instances. This is why ASME reciently incorporated API's Recommended Practice RP-579 as their Fitness For Service FFS-1. Prior to that, ASME had no provisions for evaluation of degraded vessels, no any provisions for making a 'true' repair.
By 'true' repair, I mean that the vessel would be Repaired - some remediation that brings the item into a condition that it can be safely left in service. A Repair does not return the vessel to as-new condition. What Sect VIII and most of NBIC call 'repairs' are Rework - returning the vessel to as-new condition.
On used vessels, Rework back to as-new may be too expensive, or too impractical. If a Repair leaves the vessel in good enough condition to allow continued use, that may be the optimum 'real-world' remediation. If everything had to be as-new, we would get new autos every 3-months or so.