Kyle, my first go at #1 a few years ago had the same outcome as yours, just played a little differently.
We were into the wind, the pin was up. It was 6:30 a.m. (we'd been successful in the ballot the day before, if not in the timing!), so there weren't dozens of onlookers, just the group behind us.
I hit a relatively solid driver up what I guess is left center, off in the direction of the bridge.
My caddy was too hungover for advice at this point, gave me the distance, 120 pin. I didn't factor in enough windage, thought the ball was well struck, disappointed when it landed in the burn rather than on the green.
Like you, I got up and down from there for bogey. That might have been the best pitch I've ever hit, nipped off that tight turf to gimme range. Off we went to the second tee, very pleased to escape with a five.
Knowing what I know today, I would never hit what I thought was the right club to a front pin. Take one more, two putt par, out of there!