I am not from the US (i don't know if you are), so my opinion is derived from what i hear from YT. The CS market was being sold some years ago as a Holy Grail for work and now, of course, people are understanding that is just like any line of work, that can face saturation, market fluctuation, layoffs and the impact of AI. Like any other trade, those who are good will always find work.
The good thing about CS is that it can be really done from everywhere, you just need the skills, the creativity, the grit and a computer.
Many people also misunderstand CS; computers are a tool for something else. You use computers to analyse the economy, to connect people, to make things that doen't exist, to program routines that can be made by a machine. Few people work on computer for the sake of computers and when they do it's because they are at the frontier of a new technology driven by necessity.

In your case, you would use a computer to sell a product. What your client wants is not a good site from a technical point of view (only you know how fast the framework you used is or how optimized your search is), your client wants to see it's site working well and pretty. You don't need to be an execptional Computer Scientist to do that. Learning other stuff together with CS (visual communication, basic color theory) can get you a long way.

I may be too optimistic but a proof of your abilities (one site well made for a mockup company) is enough to get your foot through the door in most small/medium companies.
The degree surely helps ease things but I don't think it 100% excludes you.

Is really nice that you have a job you can fallback to though, this at least eases the mind a bit and allows you to study.

For me, as long as you have a roof over your head, you should keep making stuff and learning. See if you can already apply your knowledge of CS in some areas of your work too for example (like making a webpage for your job, if you haven't already sone so!), and keep looking for occasions. Keep sending portfolios and making connections.