STR and 1031 Exchange

[Alex Yakubovich]

If I have an STR (Short-Term Rental) property and have utilized 100% of the Short-Term Rental Depreciation for that property, what would happen after I execute a 1031 Exchange? Would I be able to claim new Short-Term Rental Depreciation for the new property?
For example, if I had $200k in depreciation on an $800k condo and I did with a 1031 Exchange, acquiring another condo, can I continue claiming Short-Term Rental Depreciation? It seems like an infinite loophole (conducting a 1031 Exchange every two years and subsequently claiming Short-Term Rental Depreciation repeatedly). Or perhaps, am I missing something?