The Skywars extension gives an error message that it can't find skywars so it disables itself. I'm using Extension version 1.7.9 and skywars 5.6.19.
[19:49:21 WARN]: [org.bukkit.craftbukkit.v1_19_R3.legacy.CraftLegacy] Initializing Legacy Material Support. Unless you have legacy plugins and/or data this is a bug!
[19:49:25 WARN]: Legacy plugin Skywars-Extension v1.7.9 does not specify an api-version.
[19:49:25 INFO]: [Skywars-Extension] Loading server plugin Skywars-Extension v1.7.9
[19:49:25 INFO]: [Skywars] Loading server plugin Skywars v5.6.19
[19:49:25 INFO]: Server permissions file permissions.yml is empty, ignoring it
[19:49:25 INFO]: Preparing level "world"
[19:49:26 INFO]: Preparing start region for dimension minecraft:overworld
[19:49:26 INFO]: Time elapsed: 172 ms
[19:49:26 INFO]: [Skywars-Extension] Enabling Skywars-Extension v1.7.9*
[19:49:27 ERROR]: Couldn't find SkywarsReloaded! Now disabling the plugin...
[19:49:27 INFO]: [Skywars-Extension] Disabling Skywars-Extension v1.7.9
[19:49:27 INFO]: [Skywars] Enabling Skywars v5.6.19
[19:49:27 INFO]: [Skywars] Loading support for v1_19_R3
[19:49:28 INFO]: [Skywars] Maps directory is missing or no Maps were found!