Looking for details on a vintage omega seamaster watch

I was recently gifted my father's watch which he was given, by his father, when he graduated high school. It's a 353 bumper movement which, from what I've researched so far, was used in the early '50s (every article specifically says 1952). It's originally gold plated but heavily worn over the years so a lot of the plating around the case is gone, the bezel and tops of the lugs are still plated. It's been serviced many times early on as indicated by the markings on the underside of the case back (the last service marking year I can discern is 1977). It has an aftermarket 10k gold bracelet.
I spoke with Omega and got some advice on cleaning and getting it running well again (think it's just really gunked up as it will start and stop).
What I am looking for here are details or educated guesses on how this watch would have been OEM, band, crystal, etc. It has poorly replaced loom (which doesn't work anymore so must have been done a long time ago), and a plastic dome. I would like to get a version of the original band that could have come with it, a metal bracelet too maybe.
The watch face intrigues me as well. The serial number and movement all lead me to a 1952 Omega Seamaster "Calendar", but as you can see in the picture, it doesn't say "calendar" under the Seamaster text, and I haven't been able to locate images or examples of this face with this movement elsewhere.
Looking for the community's help!!
Any specific info I can get on the watch, the bumper movement, where to get OEM accessories (examples of an original band or bracelet), really anything anyone can share would be awesome!!
I want this to be my daily watch, give it a second life.
Thanks in advance!!!!
Kevin

Do you have a photo from the side? There are versions of this watch on which the case is stainless steel, the bezel is solid gold, and the lugs and crown are gold capped (thicker layer of gold than plating). So the gold may not be as worn as you think. The reference number is 2627. You can research that for more information and ideas of how it looked originally. I wouldn't personally worry about the dial not being original since that's the way your dad had it for a long time. It's never going to be original again, so might as well enjoy it as he did. I think it would look best on a strap, but a gold plated 5-row beads of rice bracelet would be appropriate, too. e.g. https://omegaforums.net/threads/omega-gold-plated-beads-of-rice-bor-bracelet-great-condition-250€.155625/

I think both of those straps are too small. I think the lug width on these is 18mm.

You can go into an Omega store and buy a bracelet or strap. They're expensive but if your plan is to keep the watch and pass it on to your son, you'll get enjoyment out of them.

I wouldn't touch the redial. It's part of its history.

I was supposed to get notifications for any replies but never did, so I thought this thread went unnoticed. Imagine my surprise and joy to find so many of you replying and helping!
Thank you all for your help.
For the watch, I am definitely NOT looking to sell this watch, this is an heirloom, keeping it for a long time. I figured the face was a replacement, but still find it strange it doesn't have the "calendar" script as that was the production, was sincerely just curious about that. For me, I think the lack of the "calendar" script makes it unique.
The lugs are 18mm and I did get a modern strap that I think will look really cool, but still want to look into original straps down the road.
Already saw the Omega site, but it doesn't tell me anything I didn't already know, want to find specs on the movement, and since the movement was only produced for one year, seems impossible.
It is a staneless steel case on the sides and back. Think the 'crystal' was also replaced at some point, wouldn't mind learning what the watch came with and getting that back to OEM.
I was told about Omega Extract of Archive but when I googled it, found Omega stopped that service.
Truly grateful to all of you, and excited to keep learning from all of you, thanks!
@impalla62ss @Olhenry56 @X350 XJR @Perrier @Dan S @gatorcpa

This might help: https://ranfft.org/caliber/8435-Omega-353

You are all helping so much, this will be great to share with my dad. Thanks for the links and info.
I stumbled across this website which has some movement details
http://watchrepairinfo.com/wwparts.htm
https://www.phfactor.net/wtf/Omega/1366_Omega 353.pdf
This is truly great, with all of your help, I'm piecing together aspects of this watch's history, giving it a deeper story that my dad will really enjoy learning about something special to him.

All the info I looked up for the 353 movement, connects it only to the year 1952. https://www.omegawatches.com/vintage-watches?v_watches_calibre=3017
Then I looked up how to read the serial number, it starts with 1301, and each site I see shows that the serial number is only associated (assuming by manufacturing date) to 1952. Assuming they used the movement in watches for maybe another year, but the year it is registered to seems to be 1952. Most of the information I have been seeing for the 353 (before all of the help I'm getting here) is just a spec line for a vintage watch description. There seems to be much more for the 355 than the 353.

The number 13013325.
Pretty much every website I've been able to try (including ones given to me here) shows the watch is from 1952
https://www.bobswatches.com/omega/serial-numbers
https://serial-number-decoder.com/omega/omega.htm
I can tell the lume has been (poorly) reapplied at some point (and needs to be replaced again). Super interested, how can you tell the dial has been repainted?

Hey Bruce, the local Omega boutique in King of Prussia, PA is an Omega service center, I checked with their horologist. He was nice and honest and shared with me the minimum expense and upgrading that would be if I sent it to Omega (which is obviously Not what I'm looking for). He referred me to a local reputable watch repair shop that is close, http://www.clockrepairardmore.com/. I've been there and they seem nice, didn't charge for a Quick Look, helped me get it running again real quick, and told me to wear it for a few weeks to get an understanding of how it's running, then bring it back to him so we can narrow down what may be needed. That said, I am completely open to recommendations, if you have some, Please send them my way. I'm good with a little travel time too, so they don't need to be down the street. My zip code is 19444.