So few things.
General statement here but just because there are Open Graph tags in your site doesn’t mean any other site will behave and listen to them the way you intended. Unfortunately every site is different and they all do whatever the hell they want most of the time.
That said; the code output by this plugin is working as you intended and outputting your logo on the home page. FB crawler shows that and they ‘SHOULD’ use that image but even they may not.
So first thing is that image is pretty small… it’s 200px square. On your page that’s fine but for open graph you should probably have a larger image to make sure it’ll work on all sites as they all have different image size requirements. I have a public repo that helps with that here: https://github.com/chuckreynolds/social-profile-image-sizes
Okay aside from that. Linkedin says they listen to OGP tags… but if my experience proves anything… they too can be full of it. So one thing that MAY be happening is that you put your URL into Linkedin and they cached the other image prior to you having open graph tags with your logo url present. They cache information for 7 days with no way to flush it (like FB’s debugger linter). So if that happened then you’ll just have to wait it out. Otherwise, bumping the image size may help them pick that up after their cache is cleared.
Source on that: https://developer.linkedin.com/docs/share-on-linkedin
Nothing else you can do about it really. Just wait for their cache to clear and hopefully they abide by the image you put in your code.
Cheers