Castillion happened several decades after Henry died.
Ultimately the treaty doesnt matter beyond giving the English kings a higher degree of legitimacy to thier claim, if the French lords refuted it there would have been another war and by his previous record I do believe that Henry V could have won that war too.
I believe that if henry had lived long enough to actually get the crown and bring up his kid properly his dynasty would have had a proper chance of cementing thier rule over france.
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