Sending LOI to WL after PTE at a different school

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Yes, if you would intend to enroll in the waitlist school if offered acceptance from their waitlist. PTE is non-binding.
 
Is it appropriate to send a letter of intent to a school I am waitlisted at after already selecting PTE at another school?
Absolutely. A lot of schools don't really value them, and most adcoms on SDN say they are treated as non-binding lies from desperate candidates, but, rest assured, it is done all the time. You selected PTE at a school where you had the option. That does not preclude you from wanting to attend a WL school more.
 
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