At 30 °C the question is which route is fastest, not whether racemisation happens — and the routes do not share an activation energy, so their ranking changes with temperature. 30 °C is 25 kelvin above the 5 °C middle of a 2–8 °C refrigerator. The ten-degree rule of thumb — degradation rate roughly doubling per 10 K — makes that about 5.7 times the refrigerated rate, which is an order-of-magnitude statement and not a shelf life. That multiplier is an average over every route at once, which is exactly why it cannot tell you which one wins. A stereocentre inverts. Identical mass, identical formula; only a chiral method or a peptide map with a chiral digestion sees it at all. So the way to answer it for your vial is to pick the method that sees racemisation specifically and run it against a control held cold, rather than to infer a mechanism from a purity number that averages all of them.
Answer first: the degradation pathways worth knowing are hydrolysis, deamidation, oxidation, aggregation and adsorption, and each has a different trigger and a different mitigation.
Hydrolysis cleaves the backbone, most readily at aspartate-proline and aspartate-glycine sequences, and is acid-catalysed. In a dry solid it barely proceeds at all.
Aggregation is physical: peptides unfold at air-liquid interfaces and associate. Shaking maximises that interface, which is why swirling and shaking produce visibly different outcomes on the same vial.
Cold, dry, dark, still. Those four words cover most of the mitigation.