When would it be too late to apply to TMDSAS?

[Sheemu]

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I'm a Canadian Citizen currently waiting on my Green Card so that I can write myself as a permanent resident, because as an international applicant I don't stand much of a chance. My question is when would it be considered too late to apply? Say I don't receive my Green Card until end of August or early September. Is it even worth applying at that point as an Out of State student?

Thanks.