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On the island of Blackreef, time doesn't progress normally. At the end of each day, the cycle begins anew, resetting everything to the way it was at the start of the day. Well, mostly everything.
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Even when you run out of reprise uses and are sent back to the beginning of the day, if you infuse your weapons and skills with residuum, you can keep hold of them when the day resets.
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This skill is only unlocked after a specific point in the narrative, namely after you defeat Wenjie in The Complex as part of a "ubiquity" task.
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Residuum can be obtained by defeating Visionaries or interacting with glowing objects. You can go back to the place where you passed away to collect residuum if you have employed reprise to rewind your death.
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When you have access to the equipment screen, you can infuse goods in between each time period. Hover over the weapon or ability you want to infuse and choose "loadout" from the menu, followed by "infuse gear."
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To lock them in for upcoming loops, hold down the "enter key" key. By clicking on the infused object and then pressing and holding the delete button, you can get rid of it if you change your mind.
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Be warned that when you are returned back to the beginning of the loop, you lose all of the residuum you are holding, so be careful how you use it.
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Image credits - imdb.com