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If there would be more time between battles of Stamford Bridge and Hastings could Harold win at Hastings?

Assuming either Hardrada and Tostig invade earlier or William invades later (few days difference is realistic) with same forces and Norse invasion goes as per OTL.

How much difference does a few days make? Harold's forces are more rested from two forced marches, wounds are healed and some forces that had to be left behind after SB can catch up (or not separated at all and force marches together in larger numbers).
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