The 5.3L L83 and 6.2L L86 both use AFM. Under the extra load of a 5,800 lb SUV, AFM lifters fail at 60k–100k miles. This is not an "if" question on used Tahoes — it's a "when and was it already fixed" question.
Cold-start the engine and listen for persistent ticking. Scan for P0300-series codes. Verify oil change records and whether AFM-deletion has been performed.
Est. cost: $3,500–$7,000 lifter replacement (all 16) or AFM delete kit + tune
Source: K2XX AFM failure pattern