Your account have som time on it from Xbox (2017) and bungie made some changes to New light quest series in Beyond Light which threw quests into Quest Archives Kiosk.
Go to the Tower. Walk to the Postmaster. Look left and there's a terminal for archived quests. Play the Spark of Hope quest again.
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I just tried to do what you suggested but all of the quest categories are empty for me except for the exotics tab which just has quests from the DLCs in it.