Here is a breakdown of the situation and the safest way to proceed.
While you can find APK files for YouTube version 5.2.27 or 5.5.30, which were the last versions compatible with the Gingerbread API (API 10), they generally fail to load content or display "connection error" messages because the back-end servers they require are no longer active. Modern YouTube requirements typically start at for official app support. How to Install an Old APK (Technical Steps) youtube old version apk for android 23 6 install
YouTube 23.06.35 APKMirror
: The absolute final update for the Gingerbread era. How to Install the APK on Your Device Here is a breakdown of the situation and