I’ve done this in the past myself as well, using Adobe Illustrator. Basically you make a screenshot as large as possible, throw it in Illustrator, and here comes the greatest part: you can vectorize the image with a limited amount of colors. So if your image contains only three colors and the grey from the watermark, you can simply choose to filter the watermark out by only tracing the paths of the three colors. In 95% of the cases the watermark is closest to white out of the three colors and is lost immediately. In other cases, just change the color in the editor to a color that’s much farther off the watermark color and change the color back to your desired color in Illustrator.

But in all honesty, using these logo creators is fun for inspiration but you can easily reproduce everything that’s coming out of these editors if you spend half a day figuring your way around in GIMP/Illustrator/Photoshop. The designs are pretty basic. Additionally, the current design philosophy is very lean, so if you need to add in a lot of complicated stuff, maybe you should ask yourself if the design is not a little bloated. Additionally that voids you of any legal issues down the line because you’ve created it yourself from scratch, and there’s no copyright on inspiration.

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That design is so simple you'd likey be better off just making it from scratch. Seems y could do that in inscape or PS without too much trouble

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You might get more luck on a design sub. But be aware, with design you really get what you pay for. Imagine a free car. That's how your free logo will look, and most likely perform. More on reddit.com

There are a handful of AI logo makers on the scene already. One I was toying with not only produces the logo and maybe some taglines (maybe it incorporated it?), but also then overlaid it across a bunch of possible use cases (business cards, website, mobile app, letterhead, etc.). Presumably, the next step would be an upsell to get business cards or envelopes printed and shipped. The couple that I have tried allowed a free use and then probably had a watermarked result. Google around and you'll find some to play with. DALL-E and Midjourney are perfectly capable but are presumably going to be less automatically tuned toward logos (plus they are atrocious with letters and words in my experience). More on reddit.com