Found Workaround for installing “rpi-connect-lite” on RapberryPiOS Trixie LITE
Searched for package rpi-connect-lite and found this package for Bookworm is available here:
https://archive.raspberrypi.org/debian/pool/main/r/rpi-connect-lite/
Downloaded and installed on RPi Trixie LITE, the latest available version (2.5.2 for arm64) by following commands. This method successfully installed rpi-connect-lite on Trixie LITE, without installing huge number of dependencies 
wget https://archive.raspberrypi.org/debian/pool/main/r/rpi-connect-lite/rpi-connect-lite_2.5.2_arm64.deb
sudo dpkg -i rpi-connect-lite_2.5.2_arm64.deb
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