It seems that the daily quests, weekly quests, and reroll chips do not provide enough Rank progress to actually reach Rank 15.
Some players are reporting that they got a 4th daily quest that didn't appear for others, without having used Reroll Chips.
https://x.com/alexflorias/status/1950449140657217570
Others are reporting that they were able to use leftover Reroll Chips from Heavy Metal to boost their progress.
https://x.com/PioneerShark/status/1950577980297634108
To make matters worse, participating in the event PvP matches grants no Rank progress, so unless you got lucky with the bugged 4th daily and/or had extra Reroll Chips from Heavy Metal, you're forced to use Silver to either buy more Reroll Chips or a Rank up to reach Rank 15 this week.
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Hello there, Thank you for your detailed report on these issues. We have taken note of your report concerning these issues with Arms Week.