Love people giving things a go and completely understand where you are coming from.
However, I would think about the actual benefits of this....do you need it for progressing your career? Is there a clear defined way you can use it straight afterwards?
How much will the Masters cost? Are your employers paying for it? Universities see a lot of Masters as cash cows.
Of course they want to encourage you to join, it's all about the hard sell for cash. Unfortunately a lot of postgrad courses trade on people's regrets and insecurities for recruitment.
Universities are a social and practical mess right now, even for those students who feel they are doing all the right things.
If you're just super-interested in a topic, then you can learn for free or tailor your learning with cheap online courses.
Start a blog or YouTube channel on your research project or niche of interest. You'll get more exposure than if you had the top dissertation in your year!
If it's just an emotional thing, then maybe some self-acceptance work or work on confidence might be useful. Life or careers coaching would be a lot cheaper!
I was an an event yesterday and talked to a guy who mentioned he had dropped out of a course... Absolutely no-one gave a damn and neither did he, he's doing something else. Came across as very alpha male, tbh.
If you're constantly ashamed of or apologising for something of course other people will pick up on it.
The only people avidly interested in things like this would be oddballs and super-competitive people, you don't want to impress them surely?
If someone likes your vibe they'll progress you at work. If not, it doesn't matter how many qualifications you have or don't have. If they want you and you need the qualifications they'll sponsor you.
I really would try not to see this as a redemption and stake your mental health on it, but a practical decision.
You're fine as you are. You have nothing to prove. There is nothing to be forgiven for, you just need to make the best decisions for yourself in the present moment.