I’m not an expert on signing of extensions, but Mozilla recently did an update of the certificate used for signing, which I believe as minimum requires you to use Firefox 115 ESR.
Firefox ESR 115 is compatible with win7/8 and still receives security updates (at least a few months more?). I would not recommend using an older browser than that to anyone.
Any particular reason you need to support Firefox 114?
Update:
ESR 115 support is extended for Windows 7-8.1 and macOS 10.12-10.14 up to September 2025.
Firefox ESR 128 also works and all “normal” versions from (as far as I remember) Firefox 128 and forwards.
I still don’t understand why you “need” to be compatible with older versions than that. And I’m afraid it is not possible anymore.
There are some special workaround solutions mentioned at the end of this article:
But still, using such an old Firefox is quite insecure as it contains some zero day vulnerabilities that doesn’t require any user interaction (sometimes all you need is a single bad WebP image).