“✅ Short Answer

No — Norton 360 is not being discontinued. The software is still being actively offered and sold. For example, the official Norton website lists multiple Norton 360 plans (Standard, Deluxe, with LifeLock) as available for purchase.
Norton
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ℹ️ What is happening

Some older Norton products are reaching end‑of‑life (EOL) or are no longer supported for certain platforms. For instance, Norton announced that some older Windows versions of its software (like pre‑Windows XP, Vista) will no longer be supported from 22 May 2024.
support.norton.com
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The brand “Norton 360” had been used previously (2006‑2014) for a different suite, which was then replaced by Norton Security. But in 2019, the Norton 360 name was revived by Gen Digital (formerly NortonLifeLock / Symantec) as their flagship consumer security suite.
Wikipedia
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