If those don't look like a problem for you, I'd definitely suggest giving it a try. MacOS 13 should give you at least 3 more years of use out of it.
Going beyond MacOS 13 I don't think is worth it. MacOS 14 is noticeably slower on my 2010 iMac, and there aren't any new features it can take advantage of anyways.
Looks like the only issue with your MacBook Air is there may be some metal issues. https://github.com/dortania/OpenCore-Legacy-Patcher/issues/1...
If those don't look like a problem for you, I'd definitely suggest giving it a try. MacOS 13 should give you at least 3 more years of use out of it.
Going beyond MacOS 13 I don't think is worth it. MacOS 14 is noticeably slower on my 2010 iMac, and there aren't any new features it can take advantage of anyways.