You're not the only person to make that mistake by a long shot. Some of us have even done it on purpose.
I wouldn't suggest doing it in a semi auto rifle with a floating firing pin but in a bolt rifle and with loads in the suggested parameters, all will be well.
I loaded up a few batches of 30-06 with 180 grain bullets over H4831 about 40 years ago with LPM primers. I did it on purpose. I didn't have and couldn't get any LR primers at the one gun shop that sold reloading equipment in Vernon BC.
H4831, like Bruce, is pretty forgiving. I didn't know that back then as it seemed to me and a lot of others that reloading was all magic anyway. Powder and bullet selections left a lot to be desired as well. To give you an example, 3 months to bring in some 6.5 x140 grain BTSP bullets and the store owner thought I was strange for trying to hunt with anything less than 30 cal.
To make a long story short, the rifle, sportered P17 by Globe, went bang and shot to point of aim at 100 yds into a nice 4 inch group. Not bad considering the rifle and the inexperienced shooter behind it. That year, those cartridges took a black bear, a calf moose and two mule deer (few if any white tails around in those years). Being inexperienced, when the proper LR primers showed up, I loaded up another batch on a bunch of uncleaned, mixed range brass that included milsurp, Dominion and Remington brass. I did know enough to trim them to equal length though. I used the same powder charge in all of them, 60.0 grains of H4831. Yeah I know, it was listed as maximum in 44th edition of "Lyman reloading handbook" but it was also listed as the most accurate as well. How could I lose, just the combination I needed.
Anyway, in those days all of the cartridges of a given nomenclature and carrying the same bullet, went into a designated cardboard box. We didn't have MTM plastic cartridge boxes then. We did have those wonderful plastic trays that came with CIL bullets though and they made fantastic loading trays.
I never bothered to keep track of which was which and they all shot consistently into that nice little 4 inch group at 100 yds and never gave it another thought. When I finally got around to reloading those cases, I did notice that about 100 of them had raised edges around the firing pin indents and one was even pierced and many were flattened quite a bit.
Other than that, nothing out of the ordinary. Today, I probably wouldn't even consider it but back then? Well I was young and most reloaders were considered to be crazy fanatics, intent on blowing themselves up. There were few if any real mentors and we had to learn to read and understand the larger words that were in the reloading manual. OH, did I mention, like any real man, I never read instructions. I felt that if someone could make it, I could figure it out. I have since realised how little I really know and now read instructions but some of them big words still get me so I gloss them over until there's a problem.