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If the warning appears urgent enough test it carefully. The place its most likely to have issue will be in cornering or hard acceleration at which point the shear/slippage respectively will be greatest. I feel slippage is very unlikely to happen; however, shear is pretty common.
Tires that are under heavy stress and are overworn(roughly equivalent to drastically over inflating) typically blow out while turning or changing lanes. This(drastically over inflated) would be at that 51 PSI in your case or lower depending on tire condition and age. The trick is to avoid that happening while getting as close as possible.
As Johnny Mullet said "experiment."
If your tire is fine under normal turns and driving conditions slowly try it on harder turns or accelerations and if it doesn't blow its good. If not. . .well. . .don't blame me(mine hover around 37-38 to avoid overinflation in a high temperature change(its happened to me)).
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