feeling so ashamed and defeated after messing up on call

i'm one month into internship and i had a really bad call a few days ago

i messed up hugely and have shown myself to be unreliable and/or incompetent, which kills me a little ~ and the worst part is that the seniors i respect would have noted this

we're on call 32hours, Q3days – my last call i felt like i barely helped my senior admit cases (which is the responsibility of the on call intern: me), i had some near-major emergencies in the night and then had to certify a patient dead (my first patient death) and then after that at around 2am when things quietened down i went to the call room to nap...

it wasn't until the next day that i found out i had missed a bunch of pages (guess my message notification wasn't loud enough) in the middle of the night which means that my 1st call senior would have had to deal with my shit, just because i was asleep... and i also didn't attend to a patient with hyperk in the middle of the night just because... i missed that page

it feels like a cardinal sin and i feel so useless and pathetic and like the absolute worst intern in my lot

it wasn't my worst call in terms of workload, but i haven't felt so ashamed in a really really long time

tldr: first year intern, one month in, missed pages in the night and my senior had to deal with them – feeling extremely guilty and ashamed

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edit: thank you everyone for the responses ; i know this is a mistake that everyone makes at some point but my god it still feels TERRIBLE. i do agree, i'm grateful for mistakes that happen early on so i can get ahead of them ~ thank you