I use the latest Kee with Keepass 2.53.1, KeepassRPC 1.14.0.0 and Firefox 112.0.1 on Ubuntu Neon 22.04.
Earlier this month, Kee stopped talking to KeePass - when firefox loaded, the Kee icon would come up red and greyed out, suggesting that KeePass was not loaded or opened, when it fact it was. The Kee settings page came up blank. After many attempts, the only way to reset KeePass to work was to refresh my Firefox profile. This has happened again today. It seems in both cases to have happened immediately after a Kee upgrade.